Phase transitions of the BTZ black hole in new massive gravity

Abstract

We investigate thermodynamics of the BTZ black hole in new massive gravity explicitly. For $m^2{\ell }^2>1/2$ with $m^2$ the mass parameter of fourth-order terms and ${\ell }^2$ AdS${}_3$ curvature radius, the Hawking-Page phase transition occurs between the BTZ black hole and AdS (thermal) soliton. For $m^2{\ell }^2<1/2$, however, this transition unlikely occurs but a phase transition between the BTZ black hole and the massless BTZ black hole is possible to occur. We may call the latter as the inverse Hawking-Page phase transition and this transition is favored in the new massive gravity.

11 pages, 3 figures, published version to appear in Advanced in High Energy Physics

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• Massive Gravity in Three Dimensions
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Warped AdS_3 black holes in new massive gravity
• Hawking-Page phase transition in BTZ black hole revisited
• Fake Supersymmetry and Extremal Black Holes
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