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Thermodynamics of Asymptotically Conical Geometries

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arxiv 1412.5996 v3 pith:TQTG2YYT submitted 2014-12-18 hep-th gr-qc

Mirjam Cvetic , Gary W. Gibbons , Zain H. Saleem This is my paper · ORCID
classification hep-thgr-qc
keywords geometriesasymptoticallyconicalthermodynamicsanaloganalysisangularasymptotic
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We study the thermodynamical properties of a class of asymptotically conical (AC) geometries known as "subtracted geometries". We derive the mass and angular momentum from the regulated Komar Integral and the Hawking-Horowitz prescription and show that they are equivalent. By deriving the asymptotic charges we show that the Smarr formula and the first law of thermodynamics hold. We also propose an analog of Christodulou-Ruffini inequality. The analysis can be generalized to other AC geometries.

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  1. Quantization of Black Hole Entropy for Black Holes in Subtracted Geometry

    hep-th 2025-04 conditional novelty 5.0 of 10

    For black holes in subtracted geometry, the exact quasinormal-mode frequencies and the first law of thermodynamics imply the horizon area is quantized in units of 8π Planck areas.

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