2d Stringy Black Holes and Varying Constants

TL;DR

This paper investigates two-dimensional charged stringy black holes as toy models to explore how varying constants affect black hole thermodynamics, concluding that no model-independent constraints on varying constants can be derived from black hole thermodynamics.

Contribution

It demonstrates that black hole temperature and entropy decrease with increasing electric charge over time, and shows that black hole thermodynamics do not impose constraints on varying constant theories.

Findings

Black hole temperature and entropy decrease with increasing charge.

Black hole thermodynamics do not constrain varying constant theories.

Two models (isolated and thermal environment) yield consistent results.

Abstract

Motivated by the recent interest on models with varying constants and whether black hole physics can constrain such theories, two-dimensional charged stringy black holes are considered. We exploit the role of two-dimensional stringy black holes as toy models for exploring paradoxes which may lead to constrains on a theory. A two-dimensional charged stringy black hole is investigated in two different settings. Firstly, the two-dimensional black hole is treated as an isolated object and secondly, it is contained in a thermal environment. In both cases, it is shown that the temperature and the entropy of the two-dimensional charged stringy black hole are decreased when its electric charge is increased in time. By piecing together our results and previous ones, we conclude that in the context of black hole thermodynamics one cannot derive any model independent constraints for the varying constants. Therefore, it seems that there aren't any varying constant theories that are out of favor with black hole thermodynamics.