MG12 - Talk detail
 

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Abstract

Information geometry and critical phenomena in black hole physics

We discuss the use of information geometry in black hole physics and present the outcomes. We utilize thermodynamic (Ruppeiner) geometry defined on the state space of a given thermodynamic system in equilibrium. The Ruppeiner geometry can be used to analyze stability and critical phenomena in black hole physics with results agreeing with the Poincaré stability analysis for black holes and black rings. Furthermore other physical phenomena are well encoded in the Ruppeiner metric such as the sign of specific heat and the extremality of the solutions. The black hole families we discuss in this talk include Einstein-Maxwell, Myers-Perry, dilaton black holes and black rings.

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