Nonlocal and generalized uncertainty principle black holes

TL;DR

This paper investigates how nonlocality and generalized uncertainty principle corrections influence black hole properties, revealing horizon extremization, phase transitions, remnants, and regular cores, thus advancing understanding of quantum gravity effects on black holes.

Contribution

It analytically derives new black hole metrics incorporating nonlocal and GUP corrections, extending previous noncommutative geometry models to include a broader class of entire functions.

Findings

Nonlocality induces horizon extremization in neutral, non-rotating black holes.

Black holes undergo a phase transition from Schwarzschild to a positive heat capacity phase.

Formation of zero temperature remnants at the end of evaporation.

Abstract

In this paper we study the issue of the role of nonlocality as a possible ingredient to solve long standing problems in the physics of black holes. To achieve this goal we analytically derive new black hole metrics improved by corrections from nonlocal gravity actions with an entire function of the order 1/2 and lower than 1/2, the latter corresponding to generalized uncertainty principle corrections. This lets us extend our previous findings about noncommutative geometry inspired black holes recently recognized as nonlocal black holes due to an entire function of order higher than 1/2. As a result we show that irrespective of the order of the function, nonlocality leads to the following properties for black hole spacetimes: i) horizon extremization also in the neutral, non rotating case; ii) black hole phase transition from a Schwarzschild phase to a positive heat capacity cooling down phase; iii) zero temperature remnant formation at the end of the evaporation process; iv) negligible quantum back reaction due to the presence of an upper bound for the Hawking temperature. Finally we show that, in agreement with the general theory of cut off functions, a regular deSitter core accounting for the energy density of virtual gravitons replaces the curvature singularity only in the case of entire functions of order 1/2 or higher.