Generalised compact spheres in electric fields

Details Generalised compact spheres in electric fields Generalised compact spheres in electric fields

2007-08-24

arxiv.org/abs/0708.3325v1

Class.Quant.Grav.24:4513-4524,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, To appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/24/17/015

We present exact solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The condition of pressure isotropy yields a difference equation with variable, rational coefficients. In an earlier treatment this condition was integrated by first transforming it to a hypergeometric equation. We demonstrate that it is possible to obtain a more general class of solutions to the Einstein-Maxwell system both in the form of special functions and elementary functions. Our results contain particular solutions found previously including models of charged relativistic spheres and uncharged neutron star models.

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