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Dynamics of Charged Plane Symmetric Gravitational Collapse

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arxiv 1008.0695 v1 pith:K6SA3HNS submitted 2010-08-04 gr-qc

Dynamics of Charged Plane Symmetric Gravitational Collapse

classification gr-qc
keywords planecasesymmetricchargedcollapsenon-adiabaticspacetimeadiabatic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we study dynamics of the charged plane symmetric gravitational collapse. For this purpose, we discuss non-adiabatic flow of a viscous fluid and deduce the results for adiabatic case. The Einstein and Maxwell field equations are formulated for general plane symmetric spacetime in the interior. Junction conditions between the interior and exterior regions are derived. For the non-adiabatic case, the exterior is taken as plane symmetric charged Vaidya spacetime while for the adiabatic case, it is described by plane Reissner-Nordstr$\ddot{o}$m spacetime. Using Misner and Sharp formalism, we obtain dynamical equations to investigate the effects of different forces over the rate of collapse. In non-adiabatic case, a dynamical equation is joined with transport equation of heat flux. Finally, a relation between the Weyl tensor and energy density is found.

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