Some Quantum Effects in de Sitter Spacetime with Compact Dimensions

• Anna Kotanjyan (Yerevan State University)

We investigate the effects of background curvature, nontrivial topology and of a planar boundary on the properties of the vacuum state for a charged scalar field. The background geometry is locally dS with an arbitrary number of toroidally compact dimensions. The planar boundary is perpendicular to one of infinite dimensions and on it the charged scalar field obeys the Robin boundary condition. Along compact dimensions general quasiperiodicity conditions are imposed and, in addition, the presence of a constant gauge field is assumed. The latter induces Aharonov-Bohm-type effect on the vacuum expectation values (VEVs) of physical observables. The periodicity conditions imposed on fields along compact dimensions give rise to the modification of the spectrum for normal modes and, related to this, the expectation values of physical observables are changed. As important local characteristics of the vacuum state we consider the VEVs of the field squared, energy-momentum tensor and of the current density.

Searching for new physics with future CMB experiments

• Levon Pogosian (Simon Fraser University)

Large scale B-mode patterns in CMB polarization, if detected, would constitute a “smoking gun” signature of primordial gravitational waves generated during an inflationary phase in the early universe. In this talk, I will discuss other sources of B-modes, such as primordial magnetic fields, axion-like fields and cosmic strings, and prospects of isolating their distinguishing features with future CMB measurements.

Vacuum polarization by cosmic strings

• Aram Saharian (Department of Physics, Yerevan State University)

We investigate the polarization of the vacuum for scalar, fermionic and electromagnetic fields induced by cosmic strings. Locally Minkowski, de Sitter and anti-de Sitter background geometries are considered. As local characteristics of the vacuum the expectation values of the field squared and of the energy-momentum tensor are considered. The contributions induced by the nontrivial topology of a cosmic string are explicitly extracted. The asymptotic behavior of the vacuum expectation values is discussed near the string and at large distances. For the de Sitter and anti-de Sitter geometries the influence of the gravitational filed on the vacuum characteristics is essential at proper distances from the string larger than the curvature radius of the background spacetime.

Vacuum currents in braneworlds with compact dimensions

• Stefano Bellucci (Istituto Nazionale Fisica Nucleare (IT))

We investigate the vacuum expectation value (VEV) of the current density for charged quantum fields in background of locally AdS spacetime with an arbitrary number of toroidally compact dimensions and in the presence of a constant gauge field. Along compact dimensions the field operator obeys quasiperiodicity conditions with arbitrary phases. The VEVs for the charge density and the components of the current density along uncompact dimensions vanish. The components along compact dimensions are decomposed into the brane-free and brane-induced contributions. The behavior of the vacuum currents in various asymptotic regions of the parameters is investigated. Applications are given to braneworld mpdels of the Randall-Sundrum type with compact dimensions. In the special case of three-dimensional spacetime, the corresponding results are applied for the investigation of the edge effects on the ground state current density induced in curved graphene tubes by an enclosed magnetic flux.

Potentially observable cylindrical wormholes without exotic matter in general relativity

• Kirill Bronnikov (VNIIMS, Moscow)

All known solutions in GR describing rotating cylindrical wormholes lack asymptotic flatness in the radial directions and thus cannot describe wormhole entrances as local objects in our Universe. To overcome this difficulty, wormhole solutions are joined to flat asymptotic regions at some cylindrical surfaces on both sides of the throat. The whole configuration thus consists of three regions, the internal one containing a wormhole throat, and two flat external ones. It remains to find such solutions where the matter content of the internal region and both junction surfaces respect the weak energy condition. Two examples of such configurations have been found, in one of which the internal matter is represented by a stiff perfect fluid and another one with a special kind of anisotropic fluid. In both examples, the resulting configurations do not contain closed timelike curves.

Transport properties in magnetized compact stars

• Toshitaka Tatsumi (Kyoto U.)

Nowadays strong magnetic field has been observed or expected in compact stars or during relativistic heavy-ion collisions. In particular, magnetars may have a huge magnetic field of O(10 15 G) at the surface. We here consider the transport properties of Dirac particles in the presence of a strong magnetic field. As a phenomenological implication, the heat conductivity is interesting and important in the context of the thermal evolution of magnetars: The heat conductivity is, in general, a tensor in the coordinate space,$\kappa_{ij}$ (I,j=x,y,z); the off-diagonal components represent the thermal Hall conductivity. First, we discuss the electron contribution in the crust of magnetars, since the main mechanism of thermal transport is responsible for conducting electrons. The diagonal components give the thermal currents proportional to the gradient of temperature. It comes from some dissipative effects for electron propagation and has a classical analogy to the Drude-Zener formula. On the other hand, the off-diagonal components consist of two parts $\kappa_{ij}$ =$\kappa_{ij}$ I + $\kappa_{ij}$ II ($i\neq j$), where the first term represents the dissipative contribution similar to the diagonal components and has been studied by many authors [1]. However, there is a little study about the second term, which is a genuine quantum effect and gives a non-dissipative contribution. It comes from the field-dependent level density and has no classical analogy [2]: the Landau levels become essential in the strong magnetic field and the density of states (DOS) is a field-dependent quantity, while DOS is not field dependent in the classical limit. Sometimes $\kappa_{ij}$ II has been missed in the literature. We elucidate its contribution by way of the Kubo formula and estimate its importance. Next, we discuss the anomalous thermal Hall effect in quark matter, which may develop in the core of compact stars. Recently we have shown a possibility of the anomalous Hall effect in dense QCD matter by the use of the Kubo formula [3], where inhomogeneous chiral phase (DCDW phase) is realized [4]. The important consequence is that the Hall conductivity $\kappa_{ij}$ becomes nonvanishing even in the absence of the magnetic field. It has a geometrical origin and modifies the Maxwell equation as in the Weyl semimetal [5]: the energy spectrum exhibits asymmetry with respect to the zero energy to produce a kind of “magnetization” in the DCDW phase, and the Hall current flows in the direction perpendicular to the magnetization. Since thermal conductivity is closely related to conductivity $\kappa_{ij} $, we can expect the anomalous thermal Hall effect there as well [6]. It then should give another contribution to the thermal conductivity independent of the magnetic field. We discuss the interplay of these terms in the non-dissipative contribution $\kappa_{ij}$ II . Finally, we briefly discuss some implications of the non-dissipative thermal Hall conductivity $\kappa_{ij}$ II , in the context of thermal evolution of magnetars. [1] A.Y. Potekhin, J.A. Pons, D. Page, Space Sci.Rev. 191 (2015) 239. [2] P. Streda, Solid State Phys. 15 (1982) L717. [3] T.Tatsumi, R. Yoshiike, K. Kashiwa, PLB 785(2018) 46. [4] E. Nakano and T. Tatsumi, PRD 71 (2005) 114006. [5] N.P. Armitage, E.J. Mele, A. Vishwanath, Rev.Mod.Phys. 90, 015001 [6] L. Smrcka and P. Streda, J.Phys. C10 (1977) 2153.

Low-mass stellar objects in modified gravity

• Aneta Magdalena Wojnar (Espirito Santo University)

I will demonstrate how the minimum main sequence mass of the low-mass stars is affected by the Palatini gravity: it turns out that such objects, whose the internal structure is known better in comparison to compact stars, can be used to test modified theories of gravity.

The universe acceleration in modified gravity: an overview

• Sergey Odintsov (ICREA and ICE-CSIC, Barcelona)

General introduction to cosmology of modified gravity is given. It is shown that different forms of modified gravity are possible: many of them being consistent with Solar system tests and cosmological bounds. Special attention is paid to F(R) gravity. It is shown that such theory may naturally describe the early-time inflation with late-time acceleration (dark energy epoch). Realistic versions of F(R) gravity are proposed. The inflationary indices are shown to be consistent with Planck experiment. New ghost-free versions of modified gravity are introduced and their cosmological evolution is studied. It is shown that it may naturally give the unification of inflation with dark energy while scalar field which appears there plays the role of dark matter.

Time-Dependent Density Functional Theory for Fermionic Superfluids: from Cold Atomic Gases, to Nuclei and Neutron Stars Crust

• Aurel Bulgac (University of Washington)

In cold atoms and in the crust of neutron stars the pairing gap can reach values comparable with the Fermi energy. While in nuclei the neutron gap is smaller, it is still of the order of a few percent of the Fermi energy. The pairing mechanism in these systems is due to short range attractive interactions between fermions and the size of the Cooper pair is either comparable to the inter-particle separation or it can be as big as a nucleus, which is still relatively small in size. Such a strong pairing gap is the result of the superposition of a very large number of particle-particle configurations, which contribute to the formation of the Copper pairs. These systems have been shown to be the host of a large number of remarkable phenomena, in which the large magnitude of the pairing gap plays an essential role: quantum shock waves, quantum turbulence, Anderson-Higgs mode, vortex rings, domain walls, soliton vortices, vortex pinning in neutron star crust, unexpected dynamics of fragmented condensates and role of pairing correlations in collisions on heavy-ions, Larkin-Ovchinnikov phase as an example of a Fermi supersolid, role pairing correlations control the dynamics of fissioning nuclei, self-bound superfluid fermion droplets of extremely low densities.

High-Density Nuclear Symmetry Energies from Observations of Neutron Stars and Gravitational Waves

• Bao-An Li (Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, TX 75429, USA)

The high-density behavior of nuclear symmetry energy is the most uncertain part of the Equation of State (EOS) of dense neutron-rich nucleonic matter [1]. It has significant ramifications in understanding properties of nuclear reactions induced by rare isotopes, neutron stars and gravitational waves from various sources. Using a new technique of inverting numerically the Tolman-Oppenheimer-Volkov (TOV) equation and Bayesian inferences, we show that a firmly restricted EOS parameter space is established using observational constraints on the radius, maximum mass, tidal deformability and causality condition of neutron stars [2,3,4]. The constraining band obtained for the pressure as a function of energy (baryon) density is in good agreement with that extracted recently by the LIGO and Virgo Collaborations from their improved analyses of the tidal deformability of neutron stars involved in the GW170817 event. Rather robust upper and lower boundaries on nuclear symmetry energies are extracted from the observational constraints up to about twice the saturation density of nuclear matter. Moreover, by studying variations of the causality surface where the speed of sound equals that of light at central densities of the most massive neutron stars within the restricted EOS parameter space, the absolutely maximum mass of neutron stars is found to be about 2.40 Msun. Implications of these findings on the recently reported mass 2.17 Msun of PSR J0740+6620 [5,6], calculations of the EOS of dense neutron-rich matter, heavy-ion reactions in terrestrial laboratories as well as the frequencies and damping times of oscillating modes of neutron stars are discussed [7]. References [1] B.A. Li, Nuclear Physics News 27, 7 (2017). [2] N.B. Zhang, B.A. Li and J. Xu, The Astrophysical J. 859, 90 (2018). [3] N.B. Zhang and B.A. Li, J. Phys. G: Nucl. Part. Phys. 46, 014002 (2019). [4] N.B. Zhang and B.A. Li, EPJA 55, 39 (2019). [5] H. T. Cromartie et al., arXiv:1904.06759 [6] N.B. Zhang and B.A. Li, arXiv:1904.10998, The Astrophysical J. (2019) in press. [7] D.H. Wen, B.A. Li, H.Y. Chen and N.B. Zhang, Phys. Rev. C 99, 045806 (2019)

Cosmic matter in the laboratory- The Compressed Baryonic Matter experiment at FAIR

• Peter Senger (GSI, MEPhI)

The Compressed Baryonic Matter (CBM) experiment is of the major scientific pillars of the future Facility for Antiproton and Ion Research (FAIR) in Darmstadt. In collisions between heavy nuclei at FAIR energies, it is expected that the matter in the reaction zone is compressed to more than five times saturation density, corresponding to the density in the core of a massive neutron star. This offers the unique opportunity, to study in the laboratory the high-density equation-of-state (EOS) of nuclear matter, and to search for new phases of QCD matter at large baryon chemical potentials. Promising experimental observables sensitive to the EOS and to possible phase transitions will be discussed, together with the expected performance of the CBM experiment, and the status of the FAIR project.

Investigations of region of extended radio source 3C315

• Martik Hovhannisyan (BAO)

The 3C315 galaxy and its surroundings were examined. According to galaxies and quasars, there is a lack of galaxies and quasars in that domain. Only 4 of these 35 domains have a lack of quasars and galaxies. The deficit of galaxies and quasars is the reason why there is empty space around the 3C315 galaxie.

Dynamics of anisotropic dark energy universe embedded in one-directional magnetized fluid

• PRATIK PREMADARSHI RAY (BITS Pilani Hyderabad Campus)

This work discovers few extraordinary features of an anisotropic dark energy cosmological model in a two fluid situation such as the usual dark energy and the electromagnetic fluid. We have assumed the dark energy pressure to be anisotropic in spatial directions in terms of skewness parameters and have been studied their behavior through cosmic evolution. In order to yield a healthy mathematical formalism of the model, we have considered the scale factor as hybrid scale factor; a combination of both power law and volumetric (de Sitter) expansion law, showing a transitional phase in between. The physical parameters are derived, analyzed and found to be in agreement with recent observational data. The evolution of Equation of State parameter obtained here, presents a scenario which is consistent with three different stages of evolutionary universe, namely; radiation dominated, matter dominated and dark energy dominated era. Also this work clearly compares the effect of magnetized fluid over other cosmic fluids (discussed in our earlier works) along with dark energy fluid. Moreover, we observed that electromagnetic fluid extremely dominates the early phase of evolution than any other cosmic fluids. Whereas, the late cosmic epoch is completely filled and driven by dark energy fluid. Also, we diagnosed the model through state-finder parameters and compared with $\Lambda$ CDM model to convey the physical acceptability of it.

Delineating the properties of matter in cold, dense QCD

• Toru Kojo (Central China Normal University)

The properties of dense QCD matter are delineated through the construction of equations of state which should be consistent with QCD calculations in the low and high density limits, nuclear laboratory experiments, and the neutron star observations. These constraints, together with the causality condition of the sound velocity, are used to develop the picture of hadron-quark continuity in which hadronic matter continuously transforms into quark matter (modulo small 1st order phase transitions). The resultant unified equation of state at zero temperature and beta - equilibrium, which we call Quark-Hadron-Crossover (QHC18 and QHC19), is consistent with the measured properties of neutron stars and in addition gives us microscopic insights into the properties of dense QCD matter.

Implications of Binary Neutron Star and Black Hole-Neutron Star Mergers for Neutron Stars and Dense Matter

• James Lattimer (Stony Brook University)

Newly discovered binary neutron star and black hole-neutron star mergers via gravitational waves can offer interesting constraints on the properties of dense matter. There are also important implications for the structure and composition of neutron stars. In the case of black hole-neutron star mergers, it is shown how to infer information about the components from GCN announcements, long before the LIGO/VIRGO collaboration publishes their results. New information from X-ray observations of neutron stars, such as from the Neutron Star Interior Composition ExploreR (NICER), can be combined with the gravitational wave data to further constrain these properties.

Hydrostatic equilibrium and stellar structure in Extended Gravity

• Salvatore Capozziello (INFN - National Institute for Nuclear Physics)

We investigate the hydrostatic equilibrium of stellar structure by taking into account the modified Lane'-Emden equation coming from Extended Theories of Gravity. Such an equation is obtained in metric approach by considering the Newtonian limit of Extended Gravity, which gives rise to a modified Poisson equation, and then introducing a relation between pressure and density with polytropic index n.The modified equation results an integro-differential equation, which, in the limit of General Relativity becomes the standard Lane'-Emden equation. We find the radial profiles of gravitational potential by solving for some values of n. The comparison of solutions with those coming from General Relativity shows that they are compatible and physically relevant. A comparison with observational data of some peculiar objects is presented.

The neutron star crust: Elasticity, breaking strength, durability and enhancement of the thermonuclear reaction rates

• Andrey Chugunov (Ioffe Institute)

In this talk I briefly review material properties of the neutron star crust and the plasma screening effects on the nuclear reaction rates. I start from elastic properties. In particular, I demonstrate that for pure Coulomb crystals the elasticity tensor has additional symmetry, which do not depend on the actual crystalline structure and composition. As a particular result of this symmetry, the effective (Voigh averaged) shear modulus of the polycrystalline matter can be derived from the lattice (Madelung) energy. It leads to universal upper limit for the effective shear modulus of polycrystalline or disordered neutron star crust. At the second part of the talk, I discuss current constraints on the maximal elastic deformation of the neutron star crust, crust durability at the maximal deformations and possibility of the plastic motions. The final part of the talk is devoted to plasma screening enhancement of the nuclear reaction rates, focusing attention on the requirement of the consistency with the detailed balance principle.

Young magnetars with fracturing crusts as fast radio burst repeaters

• Arthur Suvorov (University of Tübingen)

Fast radio bursts (FRBs) are short (duration ~ ms) but intense (flux ~ Jy) flashes, generally believed to be of extragalactic origin due to their high dispersion measures, which appear in the GHz-band. Currently, there are two sources which are known to repeat, thereby suggesting that there may be at least a subclass of FRBs resulting from transient outbursts of a young, compact object. We discuss some of the statistics surrounding the repeating bursts, and explore what this might indicate about the progenitors. We consider the possibility that FRBs are instigated by crustal fractures in young (~ 100 yrs) magnetars, whose crust yields due to strong, and topologically complicated, magnetic stresses, which build up as the field evolves rapidly due to Hall drift and ambipolar diffusion.

Quark-hadron pasta phases for two-phase approaches and the third family of compact stars

• David Blaschke (University of Wroclaw)

The effect of pasta phases on the quark-hadron phase transition is investigated for a set of relativistic mean-field equations of state for both hadron and quark matter. The results of the full numerical solution with pasta phases are compared with those of an interpolating construction used in previous works, for which we demonstrate an adequate description of the numerical results. A one-to-one mapping of the free parameter of the construction to the physical surface tension of the quark-hadron interface is obtained for which a fit formula is given. For each pair of quark and hadron matter models the critical value of the surface tension is determined, above which the phase transition becomes close to the Maxwell construction. This result agrees well with earlier theoretical estimates. The study is extended to neutron star matter in beta equilibrium with electrons and muons and is applied to investigate the effect of pasta phases on the structure of hybrid compact stars and the robustness of a possible third family solution. [1] K. Maslov et al., Phys. Rev. C 100, 025802 (2019)

On the role of fluctuations in compact objects

• Bernd-Jochen Schaefer

NA

Some aspects of the cooling of neutron stars

• Hovik Grigorian (JINR & AANL & YSU)

Measurements of the low masses for the pulsar PSR J0737-3039B, for the companion of PSR J1756-2251 and for the companion of PSR J0453+1559 on the one hand and of the high masses for the pulsars PSR J1614-2230 and PSR J0348-0432 on the other demonstrate the existence of compact stars with masses in a broad range from 1.2 to 2 Msun. We show that for realistic stellar matter EoS it is possible to explain the whole set of cooling data within "nuclear medium cooling" scenario for compact stars by a variation of the star masses. We select appropriate proton gap profiles from those exploited in the literature and allow for a variation of the effective pion gap controlling the efficiency of the medium modified Urca process. Using the set of existing observational temperature-age data for neutron stars one can also extract their possible mass distribution from the cooling model, because for each of observed compact object its mass can be predicted from the model. Such analyses has been performed for a particular EoS - DD2 model and shown that indeed the interval of masses from 1.2 to 2 Msun should be equally populated.

LOCV calculation of equation of state and binary neutron stars

• zahra sharifi

The binary system of neutron stars (NSs) has drawn a lot of astrophysicists’ attention in past years. Discovery of the gravitational wave (GW) signal from GW170817, the compact binary inspiral event, has resulted in the multi-messenger astronomy which indeed provides substantial data about the interior of dense matter. In addition, they have the potential of elucidating the information about the equations of state (EOSs) of NS matter. Structural and tidal parameters of NSs in the observed binary neutron star merger are studied employing the realistic equations of state. It is notable to mention that we use the same EOS for each component of the merger in the case of low spin prior. The value of dimensionless tidal deformability $\Lambda$ is calculated as $216<\Lambda<314$ regarding 1.4 $M_{\odot}$ configuration of NS with the EOSs of Argonne family potentials in addition to the UV14 accompanied by TNI and applying the LOCV method [1]. Fixing the chirp mass at 1.188 $M_{\odot}$, the mass ratio of components, q, is set as the recent results obtained by the PhenomPNRT wave model: (0.73, 1) for the low spin case. Therefore, our results for weighted dimensionless tidal deformability $\widetilde{\Lambda}$ agree well with the recent constraints on its lower limits: $300_{-230}^{+420}$ [2]. Moreover, it is found that some EOSs with Argonne family potentials such as AV6' and AV8' can be ruled out due to their consequences that are far away from the credible intervals. We have also investigated the impact of quark core and the van der Waals equation of state on the tidal deformability of neutron stars in a binary system. [1] Z. Sharifi, M. Bigdeli, submitted to the Journal of Physics G: Nuclear and Particle Physics. [2] B. P. Abbott et al., Phys. Rev. X. 9, 011001 (2019).

Modeling anisotropic magnetized white dwarfs with γ metric

• Alvear Diana (ITF, Wroclaw University)

The effect of magnetic fields in the equations of state (EoS) of compact objects is the splitting of the pressure in two components, one parallel and the other perpendicular to the magnetic field. This anisotropy suggests the necessity of using structure equations considering the axial symmetry of the magnetized system. In this work, we consider an axially symmetric metric in spherical coordinates, the γ -metric, and construct a system of equations to describe the structure of spheroidal compact objects. In addition, we connect the geometrical parameter γ linked to the spheroid’s radii, with the source of the anisotropy. So, the model relates the shape of the compact object to the physics that determines the properties of the composing matter. To illustrate how our structure equations work, we obtain the mass-radii solutions for magnetized white dwarfs. Our results show that the main effect of the magnetic field anisotropy in white dwarfs structure is to cause a deformation of these objects. Since this effect is only relevant at low densities, it does not affect the maximum values of magnetized white dwarf’s masses, which remain under Chandrasekhar limit.

Astrophysical aspects of general relativistic mass twin stars

• Noshad Khosravi (Alzahra University, Iran)

An effective, multi-polytope equation of state (EoS) model is used to study the so-called “mass twins” scenario, where two compact stars have approximately the same mass but (significant for observation) quite different radii. Stellar mass twin configurations are obtained if a strong first-order phase transition occurs in the interior of a compact star. In the mass-radius diagram of compact stars, this leads to a third branch of gravitationally stable stars with features that are very different from those of white dwarfs and neutron stars. Rotating hybrid star sequences are discussed in the slow rotation approximation and in full general relativity and conclusions are drawn [1] for an upper limit on the maximum mass of nonrotating compact stars that has recently been deduced from the observation of the merger event GW170817. [1] D. Blaschke et al., arXiv:1906.02522 (2019)

Hybrid Star Properties within the Nambu - Jona-Lasinio (NJL) Model for Quark Matter and Relativistic Mean Field (RMF) Model for Hadronic Matter

• Grigor Alaverdyan (Yerevan State University)

We study the properties of compact stars by taking into account the hadron-quark phase transition, as a result of which a quark matter core is formed in the central part of the star. In order to describe the quark matter, the local version of three-flavor Nambu-Jona-Lasinio (NJL) model is used. The thermodynamic characteristics of the hadronic matter are calculated within the framework of the extended version of the relativistic mean field (RMF) model, in which the contribution of the scalar-isovector $\delta$-meson effective field is also taken into account. To determine the parameters of the phase transition, both the Maxwell and the Gibbs constructions are applied. It is shown that in case of the equation of state considered by us, the narrow central density interval, $\rho_c\in(1.71\div1.73]10^{15} g / cm^3$, corresponds to stable neutron stars with a deconfined quark matter core. Our study showed that compact stars of masses of $2 M_\odot$ are compatible with possible existence of deconfined quark matter in their core.

Vacuum fluxes from a brane in de Sitter spacetime with compact dimensions

• David Simonyan

We investigate the vacuum expectation value of the energy flux density for a complex scalar field in de Sitter spacetime with an arbitrary number of toroidally compact spatial dimension and in the presence of a brane. Quasiperiodicity conditions with arbitrary phases are imposed along compact dimensions and on the brane the field obeys Robin boundary condition. Depending on the values of the parameters in the problem, the flux can be directed from the brane or to the brane. The behavior of the flux density in various asymptotic regions is investigated. It has been shown that the energy flux density is an even periodic function of magnetic fluxes enclosed by compact dimensions with the period equal to flux quantum.

Quantum effects for a spherical shell in the Milne universe

• Tigran Petrosyan (Yerevan State University)

The influence of a spherical boundary on the vacuum fluctuations of a massive scalar field is investigated in background of $\left( D+1\right) $-dimensional Milne universe, assuming that the field obeys Robin boundary condition on the sphere. The normalized mode functions are derived for the regions inside and outside the sphere. For the interior region, the boundary-induced contribution is explicitly extracted in the Wightman function with the help of the generalized Abel-Plana summation formula. The vacuum expectation values (VEVs) of the field squared and of the energy-momentum tensor are investigated for the conformal vacuum. They are decomposed into the boundary-free and boundary-induced contributions. For the latter, rapidly convergent integral representations are provided. In addition to the diagonal components, the vacuum energy-momentum tensor has an off-diagonal component that describes energy flux along the radial direction.

Time-dependent Ginzburg-Landau equations for interacting neutron-proton superfluid in neutron stars

• Karen Shahabasyan (Yerevan State University )

We discuss a time-dependent generalization of the stationary Ginzburg-Landau theory for interacting neutron superfluid and proton superconducting condensates and its modification in the presence of rotation.

Bulk viscosity of baryonic matter with trapped neutrinos

• Arus Harutyunyan (Byurakan Astrophysical Observatory, Yerevan State University)

We study bulk viscosity arising from weak current Urca processes in dense baryonic matter at and beyond nuclear saturation density. We consider the temperature regime where neutrinos are trapped and therefore have non-zero chemical potential. We model the nuclear matter in a relativistic density functional approach, taking into account the trapped neutrino component. We find that the resonant maximum of the bulk viscosity would occur at or below the neutrino trapping temperature, so in the neutrino trapped regime the bulk viscosity decreases with temperature as $T^{-2}$, this decrease being interrupted by a drop to zero at a special temperature where the proton fraction becomes density-independent and the material scale-invariant. The bulk viscosity is larger for matter with lower lepton fraction, i.e., larger isospin asymmetry. We find that bulk viscosity in the neutrino-trapped regime is smaller by several orders than in the neutrino-transparent regime, which implies that bulk viscosity in neutrino-trapped matter is probably not strong enough to affect the evolution of neutron star mergers.

Bayesian Analysis for Extracting Properties of the Nuclear Equation of State

• Alexander Ayriyan (JINR & AANL)

We perform a Bayesian analysis for selecting the most probable equation of state under a set of constraints from compact star physics, which now include the tidal deformability from GW170817. It was considered a two-parameter family of hybrid equations of state, which produces a third family of hybrid stars in the mass-radius diagram. We present the corresponding results for compact star properties like mass, radius and tidal deformabilities and use empirical data for them in Bayesian analysis method to obtain the probabilities for the model parameters within their considered range.

The fourth family of compact stars

• Armen Sedrakian (Frankfurt University)

I will discuss the features pertaining to the new family of compact stars that are denser than the hybrid stars and arises if multiple phase transitions take place in the dense quark matter. The mass, radius, deformability and internal structure of these new objects will be discussed and confronted with the constraints from astrophysics.