Shear-free radiating collapse and conformal flatness

TL;DR

This paper investigates shear-free radiating gravitational collapse with conformal flatness, deriving solutions, matching to Vaidya spacetime, and exploring the physical implications of dissipation and density inhomogeneity.

Contribution

It provides a new model of shear-free collapse with conformal flatness and analyzes the effects of dissipation and inhomogeneity in this context.

Findings

Derived general solutions for shear-free collapse with conformal flatness

Matched solutions to outgoing Vaidya spacetime

Identified the link between dissipation and density inhomogeneity

Abstract

Here we study some general properties of spherical shear-free collapse. Its general solution when imposing conformal flatness is reobtained [1,2] and matched to the outgoing Vaidya spacetime. We propose a simple model satisfying these conditions and study its physical consequences. Special attention deserve, the role played by relaxational processes and the conspicuous link betweeen dissipation and density inhomogeneity.