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arXiv · 2503.08459

Quantum gravitational corrections to Reissner-Nordstr\"om black hole thermodynamics and their implications for the weak gravity conjecture

Yong Xiao·Qiang Wang·Aonan Zhang
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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 $q/M$ 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 $q/M>1$ of charged black holes.

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Yong Xiao, Qiang Wang, Aonan Zhang. 2025-03-11. Quantum gravitational corrections to Reissner-Nordstr\"om black hole thermodynamics and their implications for the weak gravity conjecture. https://doi.org/10.1088/1674-1137/ae457a

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