Global Structure of Evaporating Black Holes

TL;DR

This paper extends the charged Vaidya metric to construct a comprehensive Penrose diagram for charged black hole formation and evaporation, revealing a time-like singularity and the potential for predicting the entire spacetime from initial conditions.

Contribution

It introduces a new extension of the charged Vaidya metric covering all spacetime, enabling a complete Penrose diagram for black hole dynamics.

Findings

Singularity is time-like in the extended spacetime.

Spacetime can be predicted from initial and boundary conditions.

Provides a unified view of black hole formation and evaporation.

Abstract

By extending the charged Vaidya metric to cover all of spacetime, we obtain a Penrose diagram for the formation and evaporation of a charged black hole. In this construction, the singularity is time-like. The entire spacetime can be predicted from initial conditions if boundary conditions at the singularity are known.