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Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity

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arxiv 0705.2469 v1 pith:4PHOPN42 submitted 2007-05-17 hep-th gr-qc

Rong-Gen Cai , Sang Pyo Kim , Bin Wang This is my paper · ORCID
classification hep-thgr-qc
keywords blackflatphasericcigravitytransitionholehawking-page
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It is well-known that there exists a Hawking-Page phase transition between a spherical AdS black hole and a thermal AdS space. The phase transition does not happen between a Ricci flat AdS black hole whose horizon is a Ricci flat space and a thermal AdS space in the Poincare coordinates. However, the Hawking-Page phase transition occurs between a Ricci flat AdS black hole and an AdS soliton if at least one of horizon coordinates for the Ricci flat black hole is compact. We show a similar phase transition betwen the Ricci flat black holes and deformed AdS solitons in the Gauss-Bonnet gravity and the dilaton gravity with a Liouville-type potential including the gauged supergravity coming from the spherical reduction of Dp-branes in type II supergravity. In contrast to Einstein gravity, we find that the high temperature phase can be dominated either by black holes or deformed AdS solitons depending on parameters.

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  1. Phase Transition and Critical Phenomena of Charged Einstein-Maxwell-Scalar Black Holes

    gr-qc 2025-05 conditional novelty 5.0 of 10

    Charged EMs black holes show van der Waals-type phase transitions with mean-field critical exponents, and the phase transition disappears above a threshold scalar charge.

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