Energy emission from high curvature region and its backreation

TL;DR

This paper models energy emission from naked singularities in self-similar dust spacetimes, demonstrating the potential for highly luminous objects within General Relativity through a novel gluing approach at the Cauchy horizon.

Contribution

It introduces a new model for energy emission from naked singularities by gluing self-similar dust solutions, exploring scenarios like singularity creation and black hole formation.

Findings

Energy can be emitted as a surface energy of a null shell.

Models can produce unlimited luminosity and energy emission.

Applicable to scenarios like black hole formation and bubble nucleation.

Abstract

A strong gravity naked singular region can give important clues towards understanding classical as well as spontaneous nature of General Relativity. We propose here a model for energy emission from a naked singular region in a self-similar dust spacetime by gluing two self-similar dust solutions at the Cauchy horizon. The energy is defined and evaluated as a surface energy of a null hypersurface, the null shell. Also included are scenarios of spontaneous creation or disappearance of a singularity, end of inflation, black hole formation and bubble nucleation. Our examples investigated here explicitly show that one can model unlimitedly luminous and energetic objects in the framework of General Relativity.