Quantum Stability of Accelerated Black Holes

TL;DR

This paper investigates how uniform acceleration affects the quantum stability of charged black holes, showing that near-extremal black holes can be stabilized against evaporation, with insights supported by a simplified two-dimensional model.

Contribution

It demonstrates that acceleration can stabilize certain charged black holes against evaporation and introduces a toy model to analyze energy-momentum flow under acceleration.

Findings

Near-extremal black holes are stabilized by acceleration.

Most nonextremal black holes continue to evaporate with modified spectra.

The two-dimensional toy model aligns with four-dimensional results.

Abstract

We study quantum aspects of the accelerated black holes in some detail. Explicitly shown is the fact that a uniform acceleration stabilizes certain charged black holes against the well-known thermal evaporation. Furthermore, a close inspection of the geometry reveals that this is possible only for near-extremal black holes and that most nonextremal varieties continue to evaporate with a modified spectrum under the acceleration. We also introduce a two-dimensional toy model where the energy-momentum flow is easily obtained for general accelerations, and find the behavior to be in accordance with the four-dimensional results. After a brief comparison to the classical system of a uniformly accelerated charge, we close by pointing out the importance of this result in the WKB expansion of the black hole pair-creation rate.