Space-time inhomogeneity, anisotropy and gravitational collapse

TL;DR

This paper studies the non-adiabatic gravitational collapse of a shear-free, anisotropic star with heat flux in inhomogeneous space-time, revealing conditions where collapse occurs without horizon formation due to mass radiation.

Contribution

It introduces a model of shear-free, anisotropic stellar collapse in inhomogeneous backgrounds, analyzing the effects of inhomogeneity on collapse dynamics and horizon formation.

Findings

Collapse proceeds without horizon formation when all mass energy is radiated.

Inhomogeneity significantly influences collapse parameters.

Collapse begins from a curvature singularity with infinite mass and size.

Abstract

We investigate the evolution of non-adiabatic collapse of a shear-free spherically symmetric stellar configuration with anisotropic stresses accompanied with radial heat flux. The collapse begins from a curvature singularity with infinite mass and size on an inhomogeneous space-time background. The collapse is found to proceed without formation of an even horizon to singularity when the collapsing configuration radiates all its mass energy. The impact of inhomogeneity on various parameters of the collapsing stellar configuration is examined in some specific space-time backgrounds.