Hydrostatic Equilibrium and Gravitational Collapse of Relativistic Charged Fluid Balls

Jacob D. Bekenstein
Phys. Rev. D 4, 2185 – Published 15 October 1971
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Abstract

We obtain the metric corresponding to an arbitrary spherically symmetric distribution of charged perfect fluid without restricting consideration to the static case, and we show that it joins onto the standard Reissner-Nordström exterior solution of Einstein's equations. We also generalize the Oppenheimer-Volkoff equations of hydrostatic equilibrium to the charged case, and we discuss their applicability. Using our formalism, we then rederive a formula of Christodoulou which splits the mass of a charged black hole into an irreducible part and a reducible electrical part. Finally, we derive the equations for the gravitational collapse of a charged fluid ball, and we draw some general conclusions from them.

  • Received 15 March 1971

DOI:https://doi.org/10.1103/PhysRevD.4.2185

©1971 American Physical Society

Authors & Affiliations

Jacob D. Bekenstein*

  • Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540

  • *N. S. F. Predoctoral Fellow.

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Issue

Vol. 4, Iss. 8 — 15 October 1971

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