Nonlinear Shear-free Radiative Collapse

TL;DR

This paper develops explicit nonlinear models of radiating gravitational collapse with shear-free conditions, transforming boundary equations into Abel equations to generate diverse solutions.

Contribution

It generalizes previous models by incorporating boundary nonlinearity, leading to explicit solutions for shear-free radiating stars with vanishing Weyl tensor components.

Findings

Generated a variety of explicit nonlinear solutions

Identified classes of infinite solutions

Extended the boundary condition analysis to include nonlinearity

Abstract

We study realistic models of relativistic radiating stars undergoing gravitational collapse which have vanishing Weyl tensor components. Previous investigations are generalised by retaining the inherent nonlinearity at the boundary. We transform the boundary condition to an Abel equation of the first kind. A variety of nonlinear solutions are generated all of which can be written explicitly. Several classes of infinite solutions exist.