On the thermodynamic geometry and critical phenomena of AdS black holes View Full Text


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Article Info

DATE

2010-07-22

AUTHORS

Anurag Sahay, Tapobrata Sarkar, Gautam Sengupta

ABSTRACT

In this paper, we study various aspects of the equilibrium thermodynamic state space geometry of AdS black holes. We first examine the Reissner-Nordstrom-AdS (RN-AdS) and the Kerr-AdS black holes. In this context, the state space scalar curvature of these black holes is analysed in various regions of their thermodynamic parameter space. This provides important new insights into the structure and significance of the scalar curvature. We further investigate critical phenomena, and the behaviour of the scalar curvature near criticality, for KN-AdS black holes in two mixed ensembles, introduced and elucidated in our earlier work arXiv:1002.2538 [hep-th]. The critical exponents are identical to those in the RN-AdS and Kerr-AdS cases in the canonical ensemble. This suggests an universality in the scaling behaviour near critical points of AdS black holes. Our results further highlight qualitative differences in the thermodynamic state space geometry for electric charge and angular momentum fluctuations in these black holes. More... »

PAGES

82

References to SciGraph publications

  • 2001-07-09. The Thermodynamics of Black Holes in LIVING REVIEWS IN RELATIVITY
  • 1983. Scaling, universality and renormalization group theory in CRITICAL PHENOMENA
  • 2003-10. Geometry of Black Hole Thermodynamics in GENERAL RELATIVITY AND GRAVITATION
  • 2010-04-29. Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes in JOURNAL OF HIGH ENERGY PHYSICS
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    http://dx.doi.org/10.1007/jhep07(2010)082

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