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Hawking–Page phase transition of four-dimensional de-Sitter spacetime with nonlinear source

2021/06/12 by Yun-Zhi Du, Huai-Fan Li, Li-Chun Zhang · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Cosmology and Gravitation Theories #Entropy (arrow of time) #Mathematical physics #Nonlinear system #Phase transition #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Spacetime #hep-th

paper · pdf · doi:10.1140/epjp/s13360-022-02664-0

published in The European Physical Journal Plus 137(5) (Springer Science+Business Media)

arxiv created 2021/06/12 · openalex created_date 2021/06/22 · openalex publication_date 2022/05/01 · arxiv updated 2022/05/20 · openalex updated_date 2026/08/05

Abstract

The interplay between a dS black hole and cosmological horizons introduces distinctive thermodynamic behavior in a dS spacetime (for example the well-known upper bounds of mass and entropy in Class. Quant. Grav. 37 (2020) 5). Based on this point, we present the Hawking-Page (HP) phase transition of the four-dimensional dS spacetime with non-linear charge correction when the effective pressure is fixed, and analyze the effects of different effective pressures and non-linear charge corrections on HP phase transition. The evolution of this dS spacetime undergoing the HP phase transition is also investigated. We find that the existent curve of HP phase transition is a closed one with two different branches. That means there exist the upper bounds of the HP temperature and HP pressure, which is completely distinguished with that in AdS spacetime. And with the decreasing of the distance between two horizons, the dS spacetime at the coexistent curve of HP phase transition is going along with different branches. Furthermore we also explore the influence of charge and non-linear charge correction on the coexistent curve.

Citations