2014/01/11 by Natacha Altamirano, David Kubizňák, Altamirano, Natacha +6 · 13 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cosmology and Gravitation Theories #Entropy (arrow of time) #History and Theory of Mathematics #Isoperimetric inequality #Mathematics #Non-equilibrium thermodynamics #Phase transition #Physics #Thermodynamic equations #Thermodynamic potential #Thermodynamic system #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1401.2586
published in arXiv (Cornell University) (Cornell University) · 39 pages, 34 figures, invited review for special issue "Aspects of Black Hole Physics" - Galaxies
openalex publication_date 2014/01/11 · arxiv created 2014/01/12 · arxiv updated 2014/01/28 · openalex created_date 2022/10/03 · openalex updated_date 2026/08/05
In this review we summarize, expand, and set in context recent developments\non the thermodynamics of black holes in extended phase space, where the\ncosmological constant is interpreted as thermodynamic pressure and treated as a\nthermodynamic variable in its own right. We specifically consider the\nthermodynamics of higher-dimensional rotating asymptotically flat and AdS black\nholes and black rings in a canonical (fixed angular momentum) ensemble. We plot\nthe associated thermodynamic potential-the Gibbs free energy-and study its\nbehaviour to uncover possible thermodynamic phase transitions in these black\nhole spacetimes. We show that the multiply-rotating Kerr-AdS black holes\nexhibit a rich set of interesting thermodynamic phenomena analogous to the\n"every day thermodynamics" of simple substances, such as reentrant phase\ntransitions of multicomponent liquids, multiple first-order solid/liquid/gas\nphase transitions, and liquid/gas phase transitions of the Van der Waals type.\nFurthermore, the reentrant phase transitions also occur for multiply-spinning\nasymptotically flat Myers-Perry black holes. The thermodynamic volume, a\nquantity conjugate to the thermodynamic pressure, is studied for AdS black\nrings and demonstrated to satisfy the reverse isoperimetric inequality; this\nprovides a first example of calculation confirming the validity of\nisoperimetric inequality conjecture for a black hole with non-spherical horizon\ntopology. The equation of state P=P(V,T) is studied for various black holes\nboth numerically and analytically-in the ultraspinning and slow rotation\nregimes.\n