Information Geometry and its Applications III

Abstract Narit Pidokrajt

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Narit Pidokrajt  (Stockholm University, Sweden)
Thursday, August 05, 2010, room Hörsaal 1
Black hole information geometry and critical phenomena

Applications of information geometry to black hole physics are discussed. We focus mainly on the outcomes of this research program. The type of information geometry we utilize in this approach is the 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 obtained by 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 information geometric approach has opened up new perspectives on the statistical mechanics of black holes - an unsettled subject necessary for the emerging theory of quantum gravity. We discuss in detail the use of information geometry for addressing ultraspinning phases of the (higher-dimensional) Myers-Perry (MP) black holes. We conjecture that the membrane phase of ultraspinning MP black holes is reached at the minimum temperature in the case of 2n < d - 3 (with n the number of angular momenta and d the number of dimensions), which corresponds to the singularity of the Ruppeiner metric.

 

Date and Location

August 02 - 06, 2010
University of Leipzig
Augustusplatz
04103 Leipzig
Germany

Scientific Organizers

Nihat Ay
Max Planck Institute for Mathematics in the Sciences
Information Theory of Cognitive Systems Group
Germany
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Paolo Gibilisco
Università degli Studi di Roma "Tor Vergata"
Facoltà di Economia
Italy
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František Matúš
Academy of Sciences of the Czech Republic
Institute of Information Theory and Automation
Czech Republic
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Scientific Committee

Shun-ichi Amari
RIKEN
Brain Science Institute, Mathematical Neuroscience Laboratory
Japan
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Imre Csiszár
Hungarian Academy of Sciences
Alfréd Rényi Institute of Mathematics
Hungary
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Dénes Petz
Budapest University of Technology and Economics
Department for Mathematical Analysis
Hungary
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Giovanni Pistone
Collegio Carlo Alberto, Moncalieri
Italy
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Administrative Contact

Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
Contact by Email
Phone: (++49)-(0)341-9959-552
Fax: (++49)-(0)341-9959-555

05.04.2017, 12:42