Shearing radiative collapse with expansion and acceleration

TL;DR

This paper presents new exact solutions for a relativistic radiative star with shear, expansion, and acceleration, analyzing their physical properties and temperature distribution over time.

Contribution

It introduces three classes of solutions by integrating boundary conditions in linear, Bernoulli, and Riccati forms for a shearing radiative star.

Findings

Derived explicit solutions for the star's metric and physical variables.

Analyzed the limiting behavior of solutions for large time values.

Calculated the causal temperature distribution explicitly.

Abstract

We investigate the behaviour of a relativistic spherically symmetric radiative star with an accelerating, expanding and shearing interior matter distribution in the presence of anisotropic pressures. The junction condition can be written in standard form in three cases: linear, Bernoulli and Riccati equations. We can integrate the boundary condition in each case and three classes of new solutions are generated. For particular choices of the metric we investigate the physical properties and consider the limiting behaviour for large values of time. The causal temperature can also be found explicitly.