Black to white transition of a charged black hole

TL;DR

This paper introduces an exact, regular solution to Einstein-Maxwell equations describing a charged black hole that collapses, bounces, and re-expands, providing insights into black hole evolution and quantum effects.

Contribution

It presents a novel exact solution modeling black hole bounce phenomena, extending classical Reissner-Nordström metrics with quantum tunneling considerations.

Findings

Solution describes black hole bounce with a regular, non-singular core

Dependence on seven parameters allows modeling various scenarios

Implications for black hole fate and quantum effects discussed

Abstract

We present an exact solution of the Maxwell-Einstein equations, which describes the exterior of a charged spherical mass collapsing into its own trapping horizon and then bouncing back from an anti-trapping horizon at the same space location of the same asymptotic region. The solution is locally but not globally isometric to the maximally extended Reissner-Nordstr\"{o}m metric and depends on seven parameters. It is regular, and defined everywhere except for a small region, where quantum tunnelling is expected. This region lies outside the mass: the mass-bounce and its near exterior are governed by classical general relativity. We discuss the relevance of this result for the fate of realistic black holes. We comment on possible effects of the classical instabilities and the Hawking radiation.