Thermal evolution of a radiating anisotropic star with shear
N F Naidu, M Govender, K S Govinder
TL;DR
This paper models the thermal evolution of a radiating, anisotropic star with shear during gravitational collapse, highlighting the impact of heat flux and shear stress relaxation times on temperature profiles.
Contribution
It presents an exact Einstein field solution incorporating pressure anisotropy, heat dissipation, and shear, with analysis of causal thermodynamics effects on temperature evolution.
Findings
Significant differences between heat flux and shear stress relaxation times.
The model reduces to Friedmann-like when heat flux is zero.
Temperature profiles are affected by anisotropy and shear dynamics.
Abstract
We study the effects of pressure anisotropy and heat dissipation in a spherically symmetric radiating star undergoing gravitational collapse. An exact solution of the Einstein field equations is presented in which the model has a Friedmann-like limit when the heat flux vanishes. The behaviour of the temperature profile of the evolving star is investigated within the framework of causal thermodynamics. In particular, we show that there are significant differences between the relaxation time for the heat flux and the relaxation time for the shear stress.
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