Black hole remnant in asymptotic Anti-de Sitter space

TL;DR

This paper investigates the stability and existence of black hole remnants in asymptotic Anti-de Sitter space, comparing thermal solitons and remnants in different dimensions, with implications for quantum gravity and string theory.

Contribution

It analyzes the low temperature phases of BTZ and AdS Schwarzschild black holes, revealing conditions under which remnants or thermal solitons are favored, including the potential role of strings.

Findings

Thermal soliton is favored over remnant in 3D at low temperature.

Planck-size remnant remains possible in 4D.

Remnants may exist in overcooled phases with strings present.

Abstract

It is known that a solution of remnant were suggested for black hole ground state after surface gravity is corrected by loop quantum effect. On the other hand, a Schwarzschild black hole in asymptotic Anti-de Sitter space would tunnel into the thermal soliton solution known as the Hawking-Page phase transition. In this letter, we investigate the low temperature phase of three-dimensional BTZ black hole and four-dimensional AdS Schwarzschild black hole. We find that the thermal soliton is energetically favored than the remnant solution at low temperature in three dimensions, while Planck-size remnant is still possible in four dimensions. Though the BTZ remnant seems energetically disfavored, we argue that it is still possible to be found in the overcooled phase if strings were present and its implication is discussed.