Quantum corrected black holes from string T-duality

Piero Nicolini,Euro Spallucci,Michael F Wondrak

doi:10.1016/j.physletb.2019.134888

Abstract

In this letter we present some stringy corrections to black hole spacetimes emerging from string T-duality. As a first step, we derive the static Newtonian potential by exploiting the relation between the T-duality and the path integral duality. We show that the intrinsic non-perturbative nature of stringy corrections introduces an ultraviolet cutoff known as zero-point length in the path integral duality literature. As a result, the static potential is found to be regular. We use this result to derive a consistent black hole metric for the spherically symmetric, electrically neutral case. It turns out that the new spacetime is regular and is formally equivalent to the Bardeen metric, apart from a different ultraviolet regulator. On the thermodynamics side, the Hawking temperature admits a maximum before a cooling down phase towards a thermodynamically stable end of the black hole evaporation process. The findings support the idea of universality of quantum black holes.

Highlights

General relativity (GR) is in excellent agreement with astronomical observations and experimental findings and has passed several high-precision tests [1]
In this letter we present some stringy corrections to black hole spacetimes emerging from string Tduality
We show that the intrinsic non-perturbative nature of stringy corrections introduces an ultraviolet cutoff known as zero-point length in the path integral duality literature

Summary

Introduction

General relativity (GR) is in excellent agreement with astronomical observations and experimental findings and has passed several high-precision tests [1]. The electric charge is quickly shed via Hawking emission and Schwinger pair production mechanism [6,7,8] To overcome such a limitation, neutral black hole models with a regular central core have been proposed in the literature, by a process of “black hole engineering”, i.e. by assuming a limiting curvature without a derivation from first principles of a given theory [9,10,11,12,13,14] (for a review see [15] and the references therein). We start by deriving the quantum-corrected static interaction potential according to the field theory enjoying the path integral duality. In contrast to the ordinary 1/r-divergence, quantum spacetime fluctuations naturally implement a short-distance cutoff which acts non-perturbatively

T-duality black hole

Black hole thermodynamics

Conclusions and outlook