Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 8, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2022/08/060
Keywords
Exact solutions; black holes and black hole thermodynamics in GR and beyond; cosmological phase transitions; GR black holes
Funding
- National Natural Science Foundation of China (NSFC) [12175105, 11575083, 11565017]
- Fundamental Research Funds for the Central Universities of China [NS2020054]
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This paper investigates the thermodynamics of the McVittie space-time, particularly focusing on the Hawking-Page-like phase transition. The formulation of thermodynamic laws and equations specific to the McVittie black hole provides insights into the possibility of phase transitions under certain conditions.
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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