Thermal Behaviour of Euclidean Stars
G. Govender, M. Govender, K. S. Govinder

TL;DR
This paper investigates the gravitational and thermodynamical properties of a radiating collapsing star model with equal areal and proper radii, providing a solution to the boundary condition that enables detailed analysis.
Contribution
It introduces a specific solution to the boundary condition for a dissipative collapse model, facilitating the study of its thermal and gravitational evolution.
Findings
Derived a new solution for the boundary condition
Analyzed the thermodynamical behavior during collapse
Explored gravitational dynamics of the radiating star
Abstract
A recent study of dissipative collapse considered a contracting sphere in which the areal and proper radii are equal throughout its evolution. The interior spacetime was matched to the exterior Vaidya spacetime which generated a temporal evolution equation at the boundary of the collapsing sphere. We present a solution of the boundary condition which allows the study of the gravitational and thermodynamical behaviour of this particular radiating model.
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