On the thermal description of the BTZ black holes

TL;DR

This paper examines the constraints on describing three-dimensional BTZ black holes thermally, identifying key mass scales and analyzing conditions under which the thermal description fails or becomes meaningless.

Contribution

It introduces three fundamental mass scales that limit the thermal description of BTZ black holes and analyzes the breakdown of this description in nearly extreme cases.

Findings

Back reaction is negligible for spinless BTZ black holes.

Thermal description breaks down near extremality.

Planck mass sets limits for Hawking radiation emission.

Abstract

We investigate the limitations on the thermal description of three dimensional BTZ black holes. We derive on physical grounds three basic mass scales that are relevant to characterize these limitations. The Planck mass in 2+1 dimensions indicate the limits where the black hole can emit Hawking's radiation. We show that the back reaction is meaningless for spinless BTZ black hole. For stationary BTZ black holes the nearly extreme case is analyzed showing that may occur a break down of its description as a thermal object.