Thermodynamics of black holes in two (and higher) dimensions
By D. Grumiller, R. Mcnees. 2007
133 citations recorded by the source corpus.
A comprehensive treatment of black hole thermodynamics in two-dimensional dilaton gravity is presented. We derive an improved action for these theories and construct the Euclidean path integral. An essentially unique boundary counterterm renders the improved action finite on-shell, and its variational properties guarantee that the path integral has a well-defined semi-classical limit. We give a detailed discussion of the canonical ensemble described by the Euclidean partition function, and examine various issues related to stability. Numerous examples are provided, including black hole backgrounds that appear in two dimensional solutions of string theory. We show that the Exact String Black Hole is one of the rare cases that admits a consistent thermodynamics without the need for an external thermal reservoir. Our approach can also be applied to certain higher-dimensional black holes, such as Schwarzschild-AdS, Reissner-Nordstrom, and BTZ.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/47ce1d89ea16adaf9396e183174b3a6e50e107cd
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Citations in the corpus
- Holographic Description of AdS_2 Black Holes (2008, background): “1) of [28] and X = e is the dilaton field.”
- The statistical mechanics of near-BPS black holes (2020, background): “This is the bosonic part of a more complicated 2D dilaton supergravity, see for example [91].”