Phys. Rev. D 77, 084004 (2008) [6 pages]Unified geometric description of black hole thermodynamicsReceived 15 January 2008; published 7 April 2008 In the space of thermodynamic equilibrium states we introduce a Legendre invariant metric which contains all the information about the thermodynamics of black holes. The curvature of this thermodynamic metric becomes singular at those points where, according to the analysis of the heat capacities, phase transitions occur. This result is valid for the Kerr-Newman black hole and all its special cases and, therefore, provides a unified description of black hole phase transitions in terms of curvature singularities. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.084004
DOI:
10.1103/PhysRevD.77.084004
PACS:
04.70.Dy, 02.40.Ky
See AlsoSee Also: Hernando Quevedo and Alberto Sánchez, Geometrothermodynamics of black holes in two dimensions, Phys. Rev. D 79, 087504 (2009). |
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