Back Reaction from Trace Anomaly in RN-blackholes Evaporation

TL;DR

This paper models the evolution of charged black holes considering trace anomaly effects, showing that such quantum effects prevent naked singularity formation during evaporation.

Contribution

It introduces a new model incorporating trace anomaly into black hole evaporation, providing insights into the end state of charged black holes.

Findings

Trace anomaly prevents naked singularity formation.

Model describes transition between charged black hole states.

Quantum effects influence black hole evaporation outcomes.

Abstract

A model is proposed to describe a transition from a charged black hole of mass $M$ and charge $Q$ to one of mass $\bar{M}$ and charge $\bar{Q}$. The basic equations are derived from the non-vacuum Einstein field equations sourced by the Coulomb field and by a null scalar field with a nonvanishing trace anomaly. It is shown that the nonvanishing trace of the energy-momentum tensor prevents the formation of a naked singularity.