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arXiv · 1510.02853

Phase transitions of the BTZ black hole in new massive gravity

Yun Soo Myung
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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.

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Yun Soo Myung. 2015-11-18. Phase transitions of the BTZ black hole in new massive gravity. https://doi.org/10.1155/2015%2F478273

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