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arXiv · 0708.3325

Generalised compact spheres in electric fields

S. D. Maharaj·K. Komathiraj
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Abstract

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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S. D. Maharaj, K. Komathiraj. 2007-08-24. Generalised compact spheres in electric fields. https://doi.org/10.1088/0264-9381%2F24%2F17%2F015

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