State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory

We study the state-space geometry of various extremal and nonextremal black holes in string theory. From the notion of the intrinsic geometry, we offer a state-space perspective to the black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic geometric meaning of the...

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Published in:Advances in high energy physics 2014-01, Vol.2014 (2014), p.1-17
Main Authors: Bellucci, Stefano, Tiwari, Bhupendra Nath
Format: Article
Language:English
Subjects:
Big Bang theory
Black holes
Critical phenomena
Dimensional analysis
Entropy
Geometry
Phase transitions
Physics
String theory
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description We study the state-space geometry of various extremal and nonextremal black holes in string theory. From the notion of the intrinsic geometry, we offer a state-space perspective to the black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic geometric meaning of the statistical fluctuations, local and global stability conditions, and long range statistical correlations. We provide a set of physical motivations pertaining to the extremal and nonextremal black holes, namely, the meaning of the chemical geometry and physics of correlation. We illustrate the state-space configurations for general charge extremal black holes. In sequel, we extend our analysis for various possible charge and anticharge nonextremal black holes. From the perspective of statistical fluctuation theory, we offer general remarks, future directions, and open issues towards the intrinsic geometric understanding of the vacuum fluctuations and black holes in string theory.
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subjects Big Bang theory
Black holes
Critical phenomena
Dimensional analysis
Entropy
Geometry
Phase transitions
Physics
String theory
title State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory
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