Gravitational Collapse of Self-Similar and Shear-free Fluid with Heat Flow

TL;DR

This paper investigates gravitational collapse of self-similar, shear-free fluids with heat flow, demonstrating that such collapse leads to naked singularities while satisfying all energy conditions.

Contribution

It introduces a new class of solutions to Einstein's equations modeling collapse of heat-flowing, shear-free fluids, revealing the formation of naked singularities.

Findings

Collapse always results in naked singularities

Solutions satisfy all energy conditions

Shells are self-similar and shear-free

Abstract

A class of solutions to Einstein field equations is studied, which represents gravitational collapse of thick spherical shells made of self-similar and shear-free fluid with heat flow. It is shown that such shells satisfy all the energy conditions, and the corresponding collapse always forms naked singularities.