Spanish and Portuguese Relativity Meeting

Session

Parallel session 7 (Mathematical Relativity)

Jul 23, 2024, 4:30 PM

Conveners

Parallel session 7 (Mathematical Relativity)

• Session convener: Filipe Mena

38. Generalized Siklos space-times

Ángel Murcia (Instituto de Física Teórica)

7/23/24, 4:30 PM

Siklos space-times conform an interesting class of exact solutions of General Relativity. In particular, they represent idealized gravitational waves propagating on top of anti-de Sitter space-times. In this talk, I will present a generalization of them, which are naturally called generalized Siklos space-times. I will motivate their introduction, elaborate on the curvature of these...

66. News tensor on null hypersurfaces

Francisco Fernández-Álvarez (University of the Basque Country)

7/23/24, 4:45 PM

There is growing interest in understanding the radiative properties of particular classes of null hypersurfaces in space-time, such as weakly isolated horizons, from the viewpoint of the structure available at the conformal boundary of asymptotically flat space-times. In this work, a covariant definition of news tensor is given for general null hypersurfaces with arbitrary cosmological...

35. Algebraic classification of 2+1 spacetimes

Matúš Papajčík (Charles University)

7/23/24, 5:00 PM

We present a new and effective method of algebraic classification of 2+1 geometries. It parallels the approach of Newman and Penrose, and in our work, we extend this formalism into three dimensions. The spacetimes are classified into the types I, II, D, III, N and O using appropriate scalars constructed from the Cotton tensor, which are analogous to the Newman–Penrose scalars of the Weyl...

96. Symmetry reduction of gravitational Lagrangians

Tomáš Málek

7/23/24, 5:15 PM

Derivation of the Schwarzschild solution by substituting a spherically symmetric ansatz for the metric directly into the Einstein-Hilbert action instead of the Einstein field equations is known as the Weyl trick. Although it is a violation of the variational principle, surprisingly, this trick gives the correct result, which was later justified by the principle of symmetric criticality (PSC),...

41. New approach to conserved charges of generic gravity in AdS

emel altas

7/23/24, 5:30 PM

Starting from a divergence-free rank-4 tensor of which the trace is the cosmological Einstein tensor, we give a construction of conserved charges in Einstein's gravity and its higher derivative extensions for asymptotically anti-de Sitter spacetimes. The current yielding the charge is explicitly gauge-invariant, and the charge expression involves the linearized Riemann tensor at the boundary....