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Title:
Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes
Authors:
Lasky, P. D.; Lun, A. W. C.
Affiliation:
AA(Centre for Stellar and Planetary Astrophysics School of Mathematical Sciences, Monash University, Wellington Rd., Melbourne 3800, Australia), AB(Centre for Stellar and Planetary Astrophysics School of Mathematical Sciences, Monash University, Wellington Rd., Melbourne 3800, Australia)
Publication:
Physical Review D, vol. 75, Issue 10, id. 104010 (PhRvD Homepage)
Publication Date:
05/2007
Origin:
APS
PACS Keywords:
Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields, Initial value problem, existence and uniqueness of solutions, Exact solutions
Abstract Copyright:
(c) 2007: The American Physical Society
DOI:
10.1103/PhysRevD.75.104010
Bibliographic Code:
2007PhRvD..75j4010L

Abstract

We utilize a recent formulation of a spherically symmetric spacetime endowed with a general decomposition of the energy-momentum tensor [Phys. Rev. D 75, 024031 (2007)PRVDAQ0556-282110.1103/PhysRevD.75.024031] to derive equations governing spherically symmetric distributions of electromagnetic matter. We show the system reduces to the Reissner-Nordstrom spacetime in general, spherically symmetric coordinates in the vacuum limit. Furthermore, we show reduction to the charged Vaidya spacetime in non-null coordinates when certain equations of states are chosen. A model of gravitational collapse is discussed whereby a charged fluid resides within a boundary of finite radial extent on the initial hypersurface, and is allowed to radiate charged particles. Our formalism allows for the discussion of all regions in this model without the need for complicated matching schemes at the interfaces between successive regions. As further examples we consider the collapse of a thin shell of charged matter onto a Reissner-Nordstrom black hole. Finally, we reduce the entire system of equations to the static case such that we have the equations for hydrostatic equilibrium of a charged fluid.
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