# Quantum Corrected Black Holes from String T-Duality

## TL;DR

This paper explores string T-duality corrections to black hole spacetimes, deriving a regular, Bardeen-like black hole metric with modified thermodynamics, including a maximum Hawking temperature and stable end state.

## Contribution

It introduces a string T-duality based approach to derive regular black hole solutions with novel thermodynamic properties.

## Key findings

- Derived a regular, Bardeen-like black hole metric from string T-duality.
- Found the Hawking temperature has a maximum before decreasing, indicating stable end states.
- Demonstrated the universality of quantum black holes with stringy corrections.

## Abstract

In this paper 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 introduce 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.