State-space geometry, non-extremal black holes and Kaluza-Klein monopoles

Abstract

We examine the statistical nature of the charged anticharged non-extremal black holes in string theory. From the perspective of the intrinsic Riemannian Geometry, the first principle of the statistical mechanics shows that the stability properties of general nonextremal nonlarge charged black brane solutions are divulged from the positivity of the corresponding principle minors of the space-state metric tensor. Under the addition of the Kaluza-Klein monopoles, a novel aspect of the Gaussian fluctuations demonstrates that the canonical fluctuations can be ascertained without any approximation. We offer the state-space geometric implication for the most general non-extremal black brane configurations in string theory.

10 pages, 4 figures. Keywords: Intrinsic Geometry; String Theory; Physics of black holes; Classical black holes; Quantum aspects of black holes, evaporation, thermodynamics; Higher-dimensional black holes, black strings, and related objects; Statistical Fluctuation; Flow Instability. PACS numbers: 2.40.-Ky; 11.25.-w; 04.70.-s; 04.70.Bw; 04.70.Dy; 04.50.Gh; 5.40.-a; 47.29.Ky

References in corpus (7)

• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Flat Information Geometries in Black Hole Thermodynamics
• Attractors in Black
• Thermodynamic Geometric Stability of Quarkonia states
• A geometric approach to correlations and quark number susceptibilities
• Black Strings, Black Rings and State-space Manifold
• Strong Interactions, (De)coherence and Quarkonia

Cited by in corpus (1)

• Geodesic Motion in a Charged 2D Stringy Blackhole Spacetime