Critical phenomena and information geometry in black hole physics

Abstract

We discuss the use of information geometry in black hole physics and present the outcomes. The type of information geometry we utilize in this approach is the 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 consistent with those from the Poincare 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 particular in this manuscript are the Myers-Perry black holes.

Contribution to ERE2009, 5 pages

References in corpus (5)

• Instability and new phases of higher-dimensional rotating black holes
• Flat Information Geometries in Black Hole Thermodynamics
• A Commentary on Ruppeiner Metrics for Black Holes
• Thermodynamic Geometry and Extremal Black Holes in String Theory
• On Geometro-thermodynamics of Dilaton Black Holes

Cited by in corpus (1)

• The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry