Sep 27 – 30, 2021
Yerevan, Armenia
Etc/GMT+4 timezone

Magnetically Deformed Neutron Stars: An Analytic Approach

Sep 28, 2021, 12:00 PM
Yerevan, Armenia

Yerevan, Armenia

Department of Physics, Alex Manukyan str. 1, Yerevan, Armenia


Mina Zamani (University of Zanjan)


In this work, we develop an analytic treatment that would allow us to model the magnetic deformation of neutron stars in the quasi-Newtonian framework. We analyze the problem with taking density profiles from various analytic approaches. The first density profile is the n=1 solution of the Lane-Emden equation, the second one is a parabolic ansatz for density and the last density distribution is a fourth-order polynomial fit to a relativistic solution we obtained with a microphysical EoS. The last density profile is an accurate modeling obtained by fitting to the true density profile acquired numerically for various EoSs [1] and it allows us to have an analytical solution for the magnetic field profile for almost a universal EoS. Contour plots of purely poloidal field indicate that the poloidal field components contribute most of the interiors of the star and have the maximum and minimum values of field strength at the origin and the edge of the star, respectively. While the projection of the toroidal magnetic field lines on the meridional plane shows that the toroidal field distribute in wide regions in the vicinity of the equatorial plane and the maximum toroidal fields occur in the center of torus. We almost incorporate all the magnetic field configurations assessed from different density profiles. The excess mass calculated in this quasi-Newtonian framework is analogous to the excess mass obtained in the general relativity framework and the polynomial magnetic field profile [2,3].

[1] N. Jiang and K. Yagi, Phys. Rev. D 99, 124029 (2019).
[2] M. Zamani, and M. Bigdeli, J. Phys. G: Nucl. Part. Phys. 46, 075201 (2019)
[3] M. Zamani, and M. Bigdeli, Astronomische Nachrichten 342, 633 (2021)

Primary authors

Mina Zamani (University of Zanjan) Dr Mohsen Bigdeli (University of Zanjan)

Presentation materials