Black to white transition of a charged black hole
Antoine Rignon-Bret, Carlo Rovelli
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 antitrapping 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\"om metric and depends on seven parameters. It is regular and defined everywhere except for a small region, where quantum tunneling 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 the possible effects of the classical instabilities and the Hawking radiation.