Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 24, Issue 17, Pages 4513-4524Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/24/17/015
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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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