Quantum gravitational corrections to Reissner-Nordstr\"om black hole thermodynamics and their implications for the weak gravity conjecture
Abstract
In this paper, we investigate the quantum gravitational corrections to the thermodynamical quantities of Reissner-Nordstr\"om black holes within the framework of effective field theory. The effective action originates from integrating out massless particles, including gravitons, at the one-loop level. We perform a complete thermodynamic analysis for both non-extremal and extremal black holes, and are mainly concerned about the shift in the charge-to-mass ratio that plays an important role in analyzing the weak gravity conjuecture. For non-extremal black holes, we identify a relationship between the shift in the charge-to-mass ratio and the thermodynamic stability of the black holes. For extremal black holes, we show that quantum gravity effects naturally lead to the super-extremality of charged black holes.
Keywords
Cite
@article{arxiv.2503.08459,
title = {Quantum gravitational corrections to Reissner-Nordstr\"om black hole thermodynamics and their implications for the weak gravity conjecture},
author = {Yong Xiao and Qiang Wang and Aonan Zhang},
journal= {arXiv preprint arXiv:2503.08459},
year = {2026}
}
Comments
9 pages, no figures, accepted version