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A Cardy-like formula for rotating black holes with planar horizon

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arxiv 1702.02416 v5 pith:WSWANBOA submitted 2017-02-08 hep-th

Moisés Bravo Gaete , Luis Guajardo , Mokhtar Hassaïne This is my paper · ORCID
classification hep-th
keywords blackformulacardy-likeholesplanarhorizonrotatingsoliton
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abstract

We show that the semiclassical entropy of $D$-dimensional rotating (an)isotropic black holes with planar horizon can be successfully computed according to a Cardy-like formula. This formula does not refer to any central charges but instead involves the vacuum energy which is identified with a gravitational bulk soliton. The soliton is obtained from the non-rotating black hole solution by means of a double analytic continuation. The robustness of the Cardy-like formula is tested with numerous and varied examples, including AdS, Lifshitz and hyperscaling violation planar black holes.

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Cited by 2 Pith papers

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  1. Cardy Entropy of Charged and Rotating Asymptotically AdS and Lifshitz Solutions with a Generalized Chern-Simons term

    hep-th 2025-06 conditional novelty 6.0 of 10

    A generalized Cardy-like formula using the soliton mass as vacuum energy reproduces the entropy of charged rotating AdS and Lifshitz black holes in three dimensions.

  2. Thermodynamics of four-dimensional regular black holes with an infinite tower of regularized curvature corrections

    gr-qc 2025-05 conditional novelty 5.0 of 10

    Planar regular black holes from an infinite tower of higher-curvature corrections are thermodynamically indistinguishable from singular GR black holes, while spherical horizons may lift this degeneracy.

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