Isotropic cases of static charged fluid spheres in general relativity

Details Isotropic cases of static charged fluid spheres in general relativity Isotropic cases of static charged fluid spheres in general relativity

2009-12-18

arxiv.org/abs/0912.3598v3

Int.J.Mod.Phys.D20:1675-1687,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 Latex pages, 4 figures, considerable corrections in the mathematical symbols and calculations

Scientific paper

10.1142/S0218271811019724

In this paper we study the isotropic cases of static charged fluid spheres in general relativity. For this purpose we consider two different specialization and under these we solve the Einstein-Maxwell field equations in isotropic coordinates. The analytical solutions thus we obtained are matched to the exterior Reissner-Nordstr\"om solutions which concern with the values for the metric coefficients $e^{\nu}$ and $e^{\mu}$. We derive the pressure, density, pressure-to-density ratio at the centre of the charged fluid sphere and boundary $R$ of the star. Our conclusion is that static charged fluid spheres provide a good connection to compact stars.

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