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Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity

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arxiv hep-th/0112045 v4 pith:LG4PWXWP submitted 2001-12-06 hep-th hep-ph

M. Cvetic , S. Nojiri , S.D. Odintsov This is my paper · ORCID
classification hep-thhep-ph
keywords entropygravitysadsnegativederivativeeinstein-gauss-bonnethigherthermodynamics
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We investigate the charged Schwarzschild-Anti-deSitter (SAdS) BH thermodynamics in 5d Einstein-Gauss-Bonnet gravity with electromagnetic field. The Hawking-Page phase transitions between SAdS BH and pure AdS space are studied. The corresponding phase diagrams (with critical line defined by GB term coefficient and electric charge) are drawn. The possibility to account for higher derivative Maxwell terms is mentioned. In frames of proposed dS/CFT correspondence it is demonstrated that brane gravity maybe localized similarly to AdS/CFT. SdS BH thermodynamics in 5d Einstein and Einstein-Gauss-Bonnet gravity is considered. The corresponding (complicated) surface counterterms are found and used to get the conserved BH mass, free energy and entropy. The interesting feature of of higher derivative gravity is the possibility for negative (or zero) SdS (or SAdS) BH entropy which depends on the parameters of higher derivative terms. We speculate that the appearence of negative entropy may indicate a new type instability where a transition between SdS (SAdS) BH with negative entropy to SAdS (SdS) BH with positive entropy would occur.

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Cited by 5 Pith papers

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  1. Topological perspective on bulk boundary thermodynamic equivalence

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    A two-central-charge CFT dictionary reproduces the extended first law, critical point, and topological charges of the 5D charged Gauss-Bonnet AdS black hole.

  2. The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For Boulware-Deser-Wheeler black holes, quasinormal-mode spectra are pseudospectrally unstable, yet time-domain waveforms shift only quadratically under small potential bumps.

  3. Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity

    gr-qc 2019-09 conditional novelty 6.0 of 10

    For five and six dimensional charged Gauss-Bonnet black holes in a cavity, the paper derives the free energy, confirms the first law, and finds two parameter regions: one phase, or a van der Waals-like small-large bla...

  4. D-dimensional black holes in extended Gauss-Bonnet gravity

    gr-qc 2025-08 conditional novelty 5.0 of 10

    Charged and rotating anti-de Sitter black hole solutions are constructed in extended Gauss-Bonnet gravity for dimensions three, four, five and higher.

  5. Rotating and non-rotating AdS black holes in $f({\cal T})$ gravity non-linear electrodynamics

    gr-qc 2019-08 conditional novelty 4.0 of 10

    New charged AdS black hole solutions are constructed for quadratic f(T) gravity with a specific nonlinear electrodynamics source, generalizing earlier Maxwell solutions and producing entropy that deviates from the area law.

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