Overview of thermodynamical properties for Reissner–Nordström–de Sitter spacetime in induced phase space

Abstract Since the black hole and cosmological horizons in the de Sitter (dS) spacetime with the Reissner–Nordström (RN) black hole are not independent with each other, which is caused by the gravitational effect, the interplay between two horizons should be considered. Based on this, by introducing...

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Main Authors: Yun-Zhi Du, Huai-Fan Li, Ren Zhao
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10797-w
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author Yun-Zhi Du
Huai-Fan Li
Ren Zhao
author_facet Yun-Zhi Du
Huai-Fan Li
Ren Zhao
author_sort Yun-Zhi Du
collection DOAJ
description Abstract Since the black hole and cosmological horizons in the de Sitter (dS) spacetime with the Reissner–Nordström (RN) black hole are not independent with each other, which is caused by the gravitational effect, the interplay between two horizons should be considered. Based on this, by introducing the interactive entropy the RN–dS spacetime is analogous to a thermodynamic system with various thermodynamic quantities, in which the laws of thermodynamics still hold on. In our work, the thermodynamic properties of the RN–dS spacetime are mapped out in the induced phase space, which are similar to that in AdS black holes. The phase transition of the RN–dS spacetime between the high-potential and the low-potential black hole phases is observed. Compared with an ordinary thermodynamic system, the similar behaviors about the Joule–Thomson expansion and the critical exponents are also checked out. Finally, the scalar curvatures of two existent phases are presented to reveal the underlying microstructure and nature of phase transition in the RN–dS spacetime, which opens a new window to investigate the dS spacetime with black holes from an observational perspective.
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spelling doaj.art-046fd9fe94d545919a2187e1ed8221b62022-12-22T03:24:14ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-09-0182911410.1140/epjc/s10052-022-10797-wOverview of thermodynamical properties for Reissner–Nordström–de Sitter spacetime in induced phase spaceYun-Zhi Du0Huai-Fan Li1Ren Zhao2Department of Physics, Shanxi Datong UniversityDepartment of Physics, Shanxi Datong UniversityInstitute of Theoretical Physics, Shanxi Datong UniversityAbstract Since the black hole and cosmological horizons in the de Sitter (dS) spacetime with the Reissner–Nordström (RN) black hole are not independent with each other, which is caused by the gravitational effect, the interplay between two horizons should be considered. Based on this, by introducing the interactive entropy the RN–dS spacetime is analogous to a thermodynamic system with various thermodynamic quantities, in which the laws of thermodynamics still hold on. In our work, the thermodynamic properties of the RN–dS spacetime are mapped out in the induced phase space, which are similar to that in AdS black holes. The phase transition of the RN–dS spacetime between the high-potential and the low-potential black hole phases is observed. Compared with an ordinary thermodynamic system, the similar behaviors about the Joule–Thomson expansion and the critical exponents are also checked out. Finally, the scalar curvatures of two existent phases are presented to reveal the underlying microstructure and nature of phase transition in the RN–dS spacetime, which opens a new window to investigate the dS spacetime with black holes from an observational perspective.https://doi.org/10.1140/epjc/s10052-022-10797-w
spellingShingle Yun-Zhi Du
Huai-Fan Li
Ren Zhao
Overview of thermodynamical properties for Reissner–Nordström–de Sitter spacetime in induced phase space
European Physical Journal C: Particles and Fields
title Overview of thermodynamical properties for Reissner–Nordström–de Sitter spacetime in induced phase space
title_full Overview of thermodynamical properties for Reissner–Nordström–de Sitter spacetime in induced phase space
title_fullStr Overview of thermodynamical properties for Reissner–Nordström–de Sitter spacetime in induced phase space
title_full_unstemmed Overview of thermodynamical properties for Reissner–Nordström–de Sitter spacetime in induced phase space
title_short Overview of thermodynamical properties for Reissner–Nordström–de Sitter spacetime in induced phase space
title_sort overview of thermodynamical properties for reissner nordstrom de sitter spacetime in induced phase space
url https://doi.org/10.1140/epjc/s10052-022-10797-w
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