Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space

Abstract

We study the charges and first law of thermodynamics for accelerating, non-rotating black holes with dyonic charges in AdS${}_4$ using the covariant phase space formalism. In order to apply the formalism to these solutions (which are asymptotically locally AdS and admit a non-smooth conformal boundary $\mathcal{I}$) we make two key improvements: 1) We relax the requirement to impose Dirichlet boundary conditions and demand merely a well-posed variational problem. 2) We keep careful track of the codimension-2 corner term induced by the holographic counterterms, a necessary requirement due to the presence of "cosmic strings" piercing $\mathcal{I}$. Using these improvements we are able to match the holographic Noether charges to the Wald Hamiltonians of the covariant phase space and derive the first law of black hole thermodynamics with the correct "thermodynamic length" terms arising from the strings. We investigate the relationship between the charges imposed by supersymmetry and show that our first law can be consistently applied to various classes of non-supersymmetric solutions for which the cross-sections of the horizon are spindles.

44 pages, 1 figure; v2: references added, minor typos corrected; v3: matches version published in EPJ C

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Cited by in corpus (12)

• Thermodynamic topological classes of the rotating, accelerating black holes
• Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes
• Thermodynamics of charged and accelerating black holes
• Plebanśki-Demiański à la Ehlers-Harrison: Exact Rotating and Accelerating Type I Black Holes
• Radiation in Fluid/Gravity and the Flat Limit
• Thermodynamic law and holography dual of accelerating and rotating black hole in Nariai limit
• Metallic transports from accelerating black holes
• The quasilocal energy and thermodynamic first law in accelerating AdS black holes
• C-metric in a (nut)shell
• Logarithmic Corrections to Thermodynamics of Accelerating Black Holes
• Validity of black hole complementarity in an accelerating Schwarzschild black hole
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle