The Stress-Energy Tensor in Soluble Models of Spherically Symmetric Charged Black Hole Evaporation

TL;DR

This paper investigates the semiclassical decay process of near-extremal charged black holes in AdS$_2$, demonstrating smooth evaporation back to an extremal state through stress-energy tensor calculations.

Contribution

It provides a detailed analysis of black hole evaporation including back-reaction effects in a solvable model, extending understanding of near-extremal black hole dynamics.

Findings

Black hole evaporation proceeds smoothly in the model.

The black hole returns to an extremal ground state.

Approximation breaks down at late stages of evaporation.

Abstract

We study the decay of a near-extremal black hole in AdS$_2$, related to the near-horizon region of 3+1-dimensional Reissner-Nordstr\"om spacetime, following Fabbri, Navarro, and Navarro-Salas. Back-reaction is included in a semiclassical approximation. Calculations of the stress-energy tensor of matter coupled to the physical spacetime for an affine null observer demonstrate that the black hole evaporation proceeds smoothly and the near-extremal black hole evolves back to an extremal ground state, until this approximation breaks down.