Spherically symmetric models for charged radiating stars and voids: Theoretical approach

Details Spherically symmetric models for charged radiating stars and voids: Theoretical approach Spherically symmetric models for charged radiating stars and voids: Theoretical approach

2002-06-26

arxiv.org/abs/gr-qc/0206076v1

Class.Quant.Grav.20:2579-2594,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages

Scientific paper

10.1088/0264-9381/20/13/309

We study the matching of a general spherically symmetric spacetime with a Vaidya-Reissner-Nordstrom solution. To that end, we study the properties of spherically symmetric electromagnetic fields and develop the proper gravitational and electromagnetic junction conditions. We prove that generic spacetimes can be matched to a Vaidya-Reissner-Nordstrom solution or one of its specializations, and that these matchings have clear physical interpretations. Furthermore, the non-spacelike nature of the matching hypersurface is proved under very general hypotheses. We obtain the fundamental result that any spherically symmetric body, be it in evolution or not, has un upper limit for the total net electric charge that carries.

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