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Thermodynamics, geometrothermodynamics and critical behavior of(2+1)-dimensional black holes

2012/06/29 by Yi‐Wen Han, YiWen Han, Gang Chen · 3 citations
Mathematics · Physics and Astronomy · #Algorithm #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Geometry #Mathematics #Phase transition #Physics #Scalar curvature #Thermodynamics #gr-qc

paper · pdf · doi:10.1016/j.physletb.2012.06.068

published as PLB 714 (2012) 127-130 · Accepted by PLB. arXiv admin note: text overlap with arXiv:0811.2524, arXiv:0902.4488, arXiv:0805.3003 by other authors

openalex publication_date 2012/06/29 · arxiv created 2012/07/24 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this Letter, we study the properties of the (2+1)-dimensional black holes from the viewpoint of geometrothermodynamics. We show that the Legendre invariant metric of the (2+1)-dimensional black holes can produce correctly the behavior of the thermodynamic interaction and phase transition structure of the corresponding black hole configurations. We find that they are both curved and the curvature scalar gives the information about the phase transition point.

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