Thermodynamics of Asymptotically Conical Geometries

Abstract

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.

arXiv comment5p, presentation improved, version to appear in Physical Review Letters

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Cited by in corpus (6)

• Black holes and solitons in an extended Proca theory
• Black hole thermodynamics from a variational principle: Asymptotically conical backgrounds
• An Analysis of the Wave Equation for the $U(1{)}^2$ Gauged Supergravity Black Hole
• An analytical formula for the vacuum polarization of rotating black holes
• Vacuum polarization throughout general subtracted black hole spacetimes
• The Spectrum of Static Subtracted Geometries