Remarks on Hawking radiation as tunneling from the BTZ black holes

TL;DR

This paper reexamines Hawking radiation as tunneling from BTZ black holes, incorporating energy and angular momentum conservation, and finds results consistent with the universal tunneling framework without altering the entropy formula.

Contribution

It provides a refined analysis of Hawking radiation as tunneling from BTZ black holes, including angular momentum conservation and self-gravitation effects, aligning with universal tunneling results.

Findings

Results align with Kraus-Parikh-Wilczek's universal tunneling conclusion

No modification needed for Bekenstein-Hawking entropy in this context

Inclusion of angular momentum conservation refines the tunneling analysis

Abstract

Hawking radiation viewed as a semiclassical tunneling process from the event horizon of the (2 + 1)-dimensional rotating BTZ black hole is carefully reexamined by taking into account not only the energy conservation but also the conservation of angular momentum when the effect of the emitted particle's self-gravitation is incorporated. In contrast to previous analysis of this issue in the literature, our result obtained here fits well to the Kraus-Parikh-Wilczek's universal conclusion without any modification to the Bekenstein-Hawking area-entropy formulae of the BTZ black hole.