Relativistic models of magnetars: Nonperturbative analytical approach

Details Relativistic models of magnetars: Nonperturbative analytical approach Relativistic models of magnetars: Nonperturbative analytical approach

2011-11-15

arxiv.org/abs/1111.3536v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTex

Scientific paper

In the present paper we focus on building simple nonperturbative analytical relativistic models of magnetars. With this purpose in mind we first develop a method for generating exact interior solutions to the static and axisymmetric Einstein-Maxwell-hydrodynamic equations with anisotropic perfect fluid and with pure poloidal magnetic field. Then using an explicit exact solution we present a simple magnetar model and calculate some physically interesting quantities as the surface elipticity and the total energy of the magnetized star.

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