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Hawking-Page phase transition in BTZ black hole revisited

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Abstract

We consider the Hawking-Page phase transition between the BTZ black hole of M ≥ 0 and the thermal soliton of M = −1. In this system, there exists a mass gap so that there does not seem to exist a continuous thermodynamic phase transition. We consistently construct the off-shell free energies of the black hole and the soliton by properly taking into account the conical space. And then, the continuous off-shell free energy to describe tunneling effect can be realized through non-equilibrium solitons.

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Authors and Affiliations

  1. Research Institute for Basic Science, Sogang University, Seoul, 121-742, Republic of Korea

    Myungseok Eune & Wontae Kim

  2. Center for Quantum Spacetime, Sogang University, Seoul, 121-742, Republic of Korea

    Wontae Kim & Sang-Heon Yi

  3. Department of Physics, Sogang University, Seoul, 121-742, Republic of Korea

    Wontae Kim

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  1. Myungseok Eune
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  2. Wontae Kim
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  3. Sang-Heon Yi
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Correspondence to Wontae Kim.

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Eune, M., Kim, W. & Yi, SH. Hawking-Page phase transition in BTZ black hole revisited. J. High Energ. Phys. 2013, 20 (2013). https://doi.org/10.1007/JHEP03(2013)020

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