Thermodynamics of charged and accelerating black holes

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.

v2: published version

References in corpus (22)

• Introductory Notes on Non-linear Electrodynamics and its Applications
• Accelerating Black Holes and Spinning Spindles
• Black holes and gravitational waves sourced by non-linear duality rotation-invariant conformal electromagnetic matter
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Thermodynamics of Regular Accelerating Black Holes
• Accelerated Black Holes beyond Maxwell's Electrodynamics
• Radiation from accelerated black holes in an anti-de Sitter universe
• Accelerating Black Hole Chemistry
• Taub-NUT solutions in conformal electrodynamics
• Topological Terms and the Misner String Entropy
• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Entropy functions for accelerating black holes
• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• Accelerating and Charged Type I Black Holes
• Solutions and basic properties of regularized Maxwell theory
• C-metrics in Gauged STU Supergravity and Beyond
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• Exact multiblack hole spacetimes in Einstein-ModMax theory
• Charged and rotating multi-black holes in an external gravitational field
• Plebanśki-Demiański à la Ehlers-Harrison: Exact Rotating and Accelerating Type I Black Holes
• Well-posed non-vacuum solutions in Robinson--Trautman geometry
• Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes

Cited by in corpus (7)

• Topological Mod(A)Max AdS black holes
• Radiation in Fluid/Gravity and the Flat Limit
• Logarithmic Corrections to Thermodynamics of Accelerating Black Holes
• Null integrability and photon phenomenology in the accelerated Schwarzschild black hole
• Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity