
arXiv: 2203.10868
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.
High Energy Physics - Theory, Black holes, black holes and black hole thermodynamics in GR and beyond, Classical and relativistic thermodynamics, FOS: Physical sciences, GR black holes, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), exact solutions, Dynamic and nonequilibrium phase transitions (general) in statistical mechanics, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory, cosmological phase transitions, Relativistic cosmology
High Energy Physics - Theory, Black holes, black holes and black hole thermodynamics in GR and beyond, Classical and relativistic thermodynamics, FOS: Physical sciences, GR black holes, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), exact solutions, Dynamic and nonequilibrium phase transitions (general) in statistical mechanics, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory, cosmological phase transitions, Relativistic cosmology
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