Regular Article - Theoretical Physics
Generating solutions for charged geodesic anisotropic spherical collapse with shear and heat radiation
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Science, Tzarigradsko Shausse 72, 1784, Sofia, Bulgaria
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Accepted: 8 March 2019
Published online: 21 March 2019
In this paper we give a generating function for solutions of the type of collapse mentioned in the title. It satisfies a simple Riccati equation, derived from a formula, which holds in the interior of the star. The generating function is unique, unlike in the neutral case. Every neutral solution has a charged companion with the same generating function. The charged solution has bigger radius, surface redshift, mass and compactness than the neutral one. Its rate of collapse is slower. A class of known exact neutral solutions, containing generalised travelling waves, is charged.
© The Author(s), 2019