Dynamics of Charged Plane Symmetric Gravitational Collapse

TL;DR

This paper investigates the dynamics of charged plane symmetric gravitational collapse, analyzing both non-adiabatic and adiabatic flows of viscous fluids, and explores the effects of various forces and heat flux on collapse behavior.

Contribution

It formulates Einstein and Maxwell equations for plane symmetric spacetime and derives junction conditions, providing new insights into the collapse process with charge and viscosity effects.

Findings

Derived dynamical equations for collapse with charge and viscosity.

Established relation between Weyl tensor and energy density.

Analyzed effects of heat flux and forces on collapse rate.

Abstract

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.