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

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 $P>0$.

arXiv comment12 pages, 4 figures

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Cited by in corpus (8)

• The P-V Phase Transition of the FRW Universe
• First Principle Study of Gravitational Pressure and Thermodynamics of FRW Universe
• Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• Equation of State and Joule-Thomson Expansion for the FRW Universe in the Brane World Scenario
• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• Cooling-Heating Properties of the FRW Universe in Gravity with a Generalized Conformal Scalar Field