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The Hawking-Page-like phase transition from FRW spacetime to McVittie black hole

Haximjan Abdusattar, Shi‐Bei Kong, Yihao Yin, Ya-Peng Hu

2022Journal of Cosmology and Astroparticle Physics15 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

PhysicsBlack hole (networking)Black hole thermodynamicsFriedmann–Lemaître–Robertson–Walker metricHawking radiationWhite holeSpacetimeEquation of statede Sitter–Schwarzschild metricThermodynamicsTheoretical physicsMathematical physicsQuantum mechanicsEntropy (arrow of time)CosmologyComputer networkLink-state routing protocolRouting protocolRouting (electronic design automation)Computer scienceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesAstrophysical Phenomena and Observations
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