Non-adiabatic collapse of a quasi-spherical radiating star

TL;DR

This paper models the non-adiabatic collapse of a quasi-spherical radiating star using shear-free isotropic fluid and Vaidya solutions, analyzing physical and thermodynamical conditions.

Contribution

It introduces a new model of star collapse incorporating both plane symmetric and spherical Vaidya solutions for radiation analysis.

Findings

Radiation can occur without boundary pressure.

Physical conditions are consistent with local conservation laws.

Thermodynamical relations are derived for the collapsing star.

Abstract

A model is proposed of a collapsing quasi-spherical radiating star with matter content as shear-free isotropic fluid undergoing radial heat-flow with outgoing radiation. To describe the radiation of the system, we have considered both plane symmetric and spherical Vaidya solutions. Physical conditions and thermodynamical relations are studied using local conservation of momentum and surface red-shift. We have found that for existence of radiation on the boundary, pressure on the boundary is not necessary.