For charged accelerating AdS black holes in Maxwell, ModMax, and RegMax theories, topological renormalization of the Euclidean action differs from holographic renormalization by 2πℓ²μ₊T when the total cosmic string tension μ₊ is nonzero.
Accelerating and Charged Type I Black Holes
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abstract
A new, exact and analytical class of accelerating and charged black holes is built, in the Einstein-Maxwell theory, thanks to the Harrison transformation. The diagonal metric does not belong to the Petrov type D classification, therefore it is not part of the Plebanski-Demianski spacetimes. The simplest subcase of this family recovers the Reissner-Nordstrom black hole in the vanishing acceleration limit and the standard C-metric in the limit of null electric charge. More general cases can have two independent electric charges, which can be tuned as desired, even to remain with an uncharged black hole, such as Petrov Type I Schwarzschild, embedded in an accelerating charged Rindler background. These accelerating black holes can be considered as a limit of charged binary systems. Conical singularities can be possibly removed in extremal configurations. The entropy of the conformal field theory model dual to the extreme black hole is obtained from near horizon analysis. Magnetic, dyonic, NUTty and Kerr-like extensions are also discussed.
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Thermodynamics of charged and accelerating black holes
For charged accelerating AdS black holes in Maxwell, ModMax, and RegMax theories, topological renormalization of the Euclidean action differs from holographic renormalization by 2πℓ²μ₊T when the total cosmic string tension μ₊ is nonzero.