Comments on the anti-Hawking effect on a BTZ black hole spacetime

TL;DR

This paper investigates the anti-Hawking effect on a BTZ black hole by analyzing detector transition rates for different quantum states, revealing the effect's state dependence and extending the analysis to Rindler-AdS3 spacetime.

Contribution

It provides a detailed comparison of the anti-Hawking effect for ground and KMS states on BTZ black holes and extends the analysis to Rindler-AdS3 spacetime.

Findings

Anti-Hawking effect appears for the ground state but not for the KMS state.

Analysis applies with minor modifications to anti-Unruh effect on Rindler-AdS3.

Transition rates depend on the quantum state and boundary conditions.

Abstract

We compute the transition rate of an Unruh-DeWitt detector coupled both to a ground state and to a KMS state of a massless, conformally coupled scalar field on a static BTZ black hole with Robin boundary conditions. We observe that, although the anti-Hawking effect is manifest for the ground state, this is not the case for the KMS state. In addition, we show that our analysis applies with minor modifications also to the anti-Unruh effect on Rindler-AdS$_3$ spacetime.