Suppression of Bekenstein-Hawking radiation in $f(T)$-gravity

TL;DR

This paper investigates how different tetrad choices in $f(T)$-gravity affect black hole stability and radiation, revealing that non-diagonal tetrades suppress Bekenstein-Hawking radiation through evaporation instabilities.

Contribution

It demonstrates that non-diagonal tetrad configurations induce evaporation instabilities that suppress standard black hole radiation in $f(T)$-gravity.

Findings

Diagonal tetrades allow stable Nariai black holes emitting Bekenstein-Hawking radiation.

Non-diagonal tetrades trigger evaporation and antievaporation instabilities.

These instabilities lead to a new form of radiation that preserves unitarity.

Abstract

We discuss semiclassical Nariai black holes in the framework of $f(T)$-gravity. For a diagonal choice of tetrades, stable Nariai metrics can be found, emitting Bekenstein-Hawking radiation in semiclassical limit. However, for a non-diagonal choice of tetrades, evaporation and antievaporation instabilities are turned on. In turn, this causes a back-reaction effect suppressing the Bekenstein-Hawking radiation. In particular, evaporation instabilities produce a new radiation -- different by Bekenstein-Hawking emission -- non-violating unitarity in particle physics sector.