Dynamics of Viscous Dissipative Plane Symmetric Gravitational Collapse

TL;DR

This paper models the gravitational collapse of a viscous, dissipative fluid with plane symmetry, analyzing how heat flow, radiation, and viscosity influence the dynamics using a causal thermodynamics framework.

Contribution

It introduces a detailed dynamical model of plane symmetric gravitational collapse incorporating dissipative effects with causal transport equations.

Findings

Dissipative effects significantly influence collapse dynamics

Junction conditions for interior and exterior spacetimes are established

Coupled dynamical and transport equations are derived and analyzed

Abstract

We present dynamical description of gravitational collapse in view of Misner and Sharp's formalism. Matter under consideration is a complicated fluid consistent with plane symmetry which we assume to undergo dissipation in the form of heat flow, radiation, shear and bulk viscosity. Junction conditions are studied for a general spacetime in the interior and Vaidya spacetime in the exterior regions. Dynamical equations are obtained and coupled with causal transport equations derived in context of M$\ddot{u}$ller Israel Stewart theory. The role of dissipative quantities over collapse is investigated.