Charged analogue of Finch-Skea stars

Details Charged analogue of Finch-Skea stars Charged analogue of Finch-Skea stars

2006-05-11

arxiv.org/abs/gr-qc/0605070v1

Int.J.Mod.Phys.D15:1311-1327,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, To appear in Int. J. Mod. Phys. D

Scientific paper

10.1142/S0218271806008826

We present solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes with a specified form of the electric field intensity. The condition of pressure isotropy yields three category of solutions. The first category is expressible in terms of elementary functions and does not have an uncharged limit. The second category is given in terms of Bessel functions of half-integer order. These charged solutions satisfy a barotropic equation of state and contain Finch-Skea uncharged stars. The third category is obtained in terms of modified Bessel functions of half-integer order and does not have an uncharged limit. The physical features of the charged analogue of the Finch-Skea stars are studied in detail. In particular the condition of causality is satisfied and the speed of sound does not exceed the speed of light. The physical analysis indicates that this analogue is a realistic model for static charged relativistic perfect fluid spheres.

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