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Thermodynamics of Asymptotically Conical Geometries
Mirjam Cvetič1, Gary W Gibbons2, Zain H Saleem3
1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA and Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, Slovenia.
Abstract:
We study the thermodynamical properties of a class of asymptotically conical 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 asymptotically conical geometries.
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