Collapsing Plane Symmetric Source with Heat Flux and Conformal Flatness

TL;DR

This paper investigates a collapsing plane symmetric source with heat flux under conformal flatness, deriving Einstein equations, matching interior and exterior solutions, and proposing a new collapse model with temperature analysis.

Contribution

It introduces a new model of collapsing plane symmetric source with heat flux satisfying conformal flatness and matches interior and exterior geometries.

Findings

Pressure balances with heat flux during collapse

Continuity of mass across regions is maintained

Temperature profile is computed for the model

Abstract

This paper deals with the study of collapsing plane symmetric source in the presence of heat flux. For this purpose, we have calculated the Einstein field equations as well as Weyl tensor components. The conditions for the conformal flatness have been determined. The interior source has been matched smoothly with the exterior geometry in single null coordinate. It has been found the pressure is balanced with the out going heat flux and the continuity of the masses in two regions has been noted. A simple new model of collapse has been proposed which satisfies flatness condition, also we have discussed the physical properties of the model. For our model, we have calculated the temperature profile by using the approximation scheme.