Hawking-Page Phase Transition Of The Schwarzschild AdS Black Hole ...

General Relativity and Quantum Cosmology arXiv:2205.09938 (gr-qc) [Submitted on 20 May 2022 (v1), last revised 21 Sep 2022 (this version, v2)] Title:Hawking-Page phase transition of the Schwarzschild AdS black hole with the effective Tolman temperature Authors:Hwajin Eom, Sojeong Jung, Wontae Kim View a PDF of the paper titled Hawking-Page phase transition of the Schwarzschild AdS black hole with the effective Tolman temperature, by Hwajin Eom and 1 other authors View PDF

Abstract:A sufficiently large Schwarzschild AdS black hole with the Hawking temperature has a positive heat capacity and undergoes the Hawking-Page phase transition. Even though an arbitrary isothermal surface of a cavity is introduced, the essential features about the stability and phase transition of the Schwarzschild AdS black hole remain the same. In this paper, we study the stability and the Hawking-Page phase transition of the Schwarzschild AdS black hole by employing an alternative local temperature satisfying the Hartle-Hawking vacuum condition which states that the ingoing and outgoing fluxes vanish at the horizon so that the local temperature is naturally zero there. The different definition of the local temperature based on the stress tensor approach provides different types of stability and phase transition. For a AdS curvature radius below a critical one, the medium-sized black hole is found to be stable and the other small and large black holes turn out to be unstable regardless of the AdS curvature radius. Furthermore, we encounter various critical temperatures. The first one is for the Hawking-Page phase transition between the medium-sized black hole and thermal AdS, and the second one is for a phase transition between the large black hole and thermal AdS; however, the latter one is not essential because the large black hole and thermal AdS eventually collapse to the medium-sized black hole. Interestingly, we find an additional critical temperature related to the zeroth-order phase transition between the medium-sized black hole and thermal AdS. Consequently, the medium-sized black hole undergoes both the Hawking-Page phase transition and the zeroth-order phase transition.

Comments:	15 pages, 4 figures, comments and references added
Subjects:	General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as:	arXiv:2205.09938 [gr-qc]
(or arXiv:2205.09938v2 [gr-qc] for this version)
https://doi.org/10.48550/arXiv.2205.09938 Focus to learn more arXiv-issued DOI via DataCite
Journal reference:	JCAP 09 (2022) 053
Related DOI:	https://doi.org/10.1088/1475-7516/2022/09/053 Focus to learn more DOI(s) linking to related resources

Submission history

From: Sojeong Jung [view email] [v1] Fri, 20 May 2022 03:20:37 UTC (1,021 KB) [v2] Wed, 21 Sep 2022 07:20:31 UTC (1,053 KB) Full-text links:

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