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Author Arcioni, Giovanni ♦ Lozano-Tellechea, Ernesto
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2004-12-12
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ General Relativity and Quantum Cosmology ♦ physics:gr-qc ♦ physics:hep-th
Abstract We revisit the general topic of thermodynamical stability and critical phenomena in black hole physics, analyzing in detail the phase diagram of the five dimensional rotating black hole and the black rings discovered by Emparan and Reall. First we address the issue of microcanonical stability of these spacetimes and its relation to thermodynamics by using the so-called Poincare (or "turning point") method, which we review in detail. We are able to prove that one of the black ring branches is always locally unstable, showing that there is a change of stability at the point where the two black ring branches meet. Next we study divergence of fluctuations, the geometry of the thermodynamic state space (Ruppeiner geometry) and compute the appropriate critical exponents and verify the scaling laws familiar from RG theory in statistical mechanics. We find that, at extremality, the behaviour of the system is formally very similar to a second order phase transition.
Description Reference: Phys.Rev. D72 (2005) 104021
Educational Use Research
Learning Resource Type Article
Page Count 46


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