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The Hawking-Page-like Phase Transition from FRW Spacetime to McVittie Black Hole

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arxiv 2203.10868 v1 pith:YQJOQHK4 submitted 2022-03-21 gr-qc hep-th

Haximjan Abdusattar , Shi-Bei Kong , Yihao Yin , Ya-Peng Hu This is my paper
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keywords mcvittieblackholehawking-page-likephasetransitionfindspacetime
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abstract

In this paper, we investigate the thermodynamics especially the Hawking-Page-like phase transition of the McVittie space-time. We formulate the first law of thermodynamics for the McVittie black hole, and find that the work density $W$ of the perfect fluid plays the role of the thermodynamic pressure, i.e. $P$:=$-W$. We also construct the thermodynamic equation of state for the McVittie black hole. Most importantly, by analysing the Gibbs free energy, we find that the Hawking-Page-like phase transition from FRW spacetime to McVittie black hole is possible in the case $P>0$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermodynamics of FLRW universe in Quadratic Gravity

    gr-qc 2025-07 reject novelty 5.0 of 10

    Quadratic-gravity terms are claimed to shift the thermodynamic phase structure of the FLRW apparent horizon, but the printed critical-radius formula does not follow from the paper's own equation of state.

  2. Generalized Misner-Sharp energy in $f(R,\mathcal{G})$ gravity

    gr-qc 2025-06 conditional novelty 4.0 of 10

    This paper extends the Misner-Sharp quasilocal energy to f(R,G) gravity and applies it to apparent horizon thermodynamics, finding a phase transition in the adiabatic index for certain models.

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