| Title: | Black hole thermodynamics from a variational principle: asymptotically conical backgrounds |
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| Authors: | ID An, Song-ok (Author)
ID Cvetič, Mirjam (Author)
ID Papadimitriou, Ioannis (Author) |
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| Files: |  Journal_of_High_Energy_Physics_An,_Cvetic,_Papadimitriou_2016_Black_hole_thermodynamics_from_a_variational_principle_asymptotically_coni.pdf (834,82 KB)
MD5: 5D9BF9F13B69F13ED938F5F329F20DFE
 http://link.springer.com/10.1007/JHEP03(2016)086
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UM - University of Maribor
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| Abstract: | The variational problem of gravity theories is directly related to black hole thermodynamics. For asymptotically locally AdS backgrounds it is known that holographic renormalization results in a variational principle in terms of equivalence classes of boundary data under the local asymptotic symmetries of the theory, which automatically leads to finite conserved charges satisfying the first law of thermodynamics. We show that this connection holds well beyond asymptotically AdS black holes. In particular, we formulate the variational problem for N = 2 STU supergravity in four dimensions with boundary conditions corresponding to those obeyed by the so called 'subtracted geometries'. We show that such boundary conditions can be imposed covariantly in terms of a set of asymptotic second class constraints, and we derive the appropriate boundary terms that render the variational problem well posed in two different duality frames of the STU model. This allows us to define finite conserved charges associated with any asymptotic Killing vector and to demonstrate that these charges satisfy the Smarr formula and the first law of thermodynamics. Moreover, by uplifting the theory to five dimensions and then reducing on a 2-sphere, we provide a precise map between the thermodynamic observables of the subtracted geometries and those of the BTZ black hole. Surface terms play a crucial role in this identification. |
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| Keywords: | M-Theory, Black Holes, String Theory, Gauge-gravity correspondence |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2016 |
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| Number of pages: | str. 1-39 |
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| Numbering: | Letn. 2016, št. 3 |
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| PID: | 20.500.12556/DKUM-66455  |
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| ISSN: | 1029-8479 |
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| UDC: | 530.122.3 |
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| ISSN on article: | 1029-8479 |
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| COBISS.SI-ID: | 90840833 |
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| DOI: | 10.1007/JHEP03(2016)086 |
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| NUK URN: | URN:SI:UM:DK:CPDA7WME |
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| Publication date in DKUM: | 27.06.2017 |
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| Views: | 3073 |
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| Downloads: | 410 |
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| Metadata: |    |
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| Categories: | Misc.
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