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On thermodynamics of charged and accelerating black holes

On thermodynamics of charged and accelerating black holes

Authors :
Hale, Tomáš
Kubizňák, David
Menšíková, Jana
Mann, Robert B.
Yang, Jiayue
Publication Year :
2025

Abstract

We reconsider various C-metric spacetimes describing charged and (slowly) accelerating AdS black holes in different theories of (non-linear) electrodynamics and revisit their thermodynamic properties. Focusing first on the Maxwell theory, we find a parametrization of the metric where we can eliminate the non-trivial `normalization' of the boost Killing vector which was crucial for obtaining consistent thermodynamics in previous studies. We also calculate the Euclidean action using i) the standard holographic renormalization and ii) using the topological renormalization, showing that in the presence of overall cosmic string tension the two do not agree. These results are also extended to accelerating black holes in ModMax and RegMax non-linear electrodynamics. Interestingly, for the latter the electrostatic potential picks up a modification, that remains to be explained, but is consistent with the topological renormalization and the (generalized) Hawking--Ross prescription. Our study indicates that thermodynamics of charged accelerating black holes is far from being completely understood.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2501.13679
Document Type :
Working Paper