On the Microscopic Perspective of Black Branes Thermodynamic Geometry
arXiv:0808.3921 · doi:10.3390/e12102097
Abstract
In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and non-extremal black branes and outline an origin of the interactions among various microstates of a given black brane configuration from the perspective of an intrinsic Riemannian geometry arising from the coarse graining entropy over a large number of microstates. We have analyzed the state-space geometry in the case of various extremal and non-extremal black branes arising from the string theories, multi-centered black brane configurations, small black holes with fractional branes, fuzzy rings in the set up of Mathur's fuzzballs and subensemble theory, as well as that the black brane foams from the considerations of bubbling black brane solutions in the M-theory. We have further shown that there exists a clear mechanism on the black brane side that describes the notion of associated interactions in the state-space or vice-versa. We thus find that in all such cases there are no singularities in the state-space manifold of these black brane configurations. This observation is in turn consistent with the existing picture of corresponding microscopic CFT data.
32 pages, LaTeX file, PACS numbers: 04.70.-s Physics of black holes; 04.70.Bw Classical black holes; 04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
References in corpus (23)
- The fuzzball proposal for black holes
- Thermodynamic Geometry and Critical Behavior of Black Holes
- On the Thermodynamic Geometry of BTZ Black Holes
- Entropy Function and AdS(2)/CFT(1) Correspondence
- Fuzzball solutions for black holes and D1-brane--D5-brane microstates
- Flat Information Geometries in Black Hole Thermodynamics
- The Foaming Three-Charge Black Hole
- Ads(3)/CFT(2) to Ads(2)/CFT(1)
- One Ring to Rule Them All ... and in the Darkness Bind Them?
- Extremal Black Hole and Flux Vacua Attractors
- Off-shell N=2 tensor supermultiplets
- Attractors in Black
- Precision Microstate Counting of Small Black Rings
- Attractor Horizon Geometries of Extremal Black Holes
- How many black holes fit on the head of a pin?
- Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity
- State-space Correlations and Stabilities
- Sur les corrections de la géométrie thermodynamique des trous noirs
- Quantum Lift of Non-BPS Flat Directions
- Black hole size and phase space volumes
- On Generalized Uncertainty Principle
- R^2 Corrections to Black Ring Entropy
- Black hole entropy, flat directions and higher derivatives
Cited by in corpus (17)
- State-space Correlations and Stabilities
- Thermodynamic Geometry and Topological Einstein-Yang-Mills Black Holes
- State-space Manifold and Rotating Black Holes
- Thermodynamic Geometry and Hawking Radiation
- Thermodynamic Geometric Stability of Quarkonia states
- On the Thermodynamic Geometry of Hot QCD
- Geometric Perspective of Entropy Function: Embedding, Spectrum and Convexity
- A geometric approach to correlations and quark number susceptibilities
- Thermodynamic Geometry: Evolution, Correlation and Phase Transition
- Strong Interactions, (De)coherence and Quarkonia
- State-space geometry, non-extremal black holes and Kaluza-Klein monopoles
- Intrinsic Geometric Analysis of the Network Reliability and Voltage Stability
- On Attractor Flow and Small Black Holes
- On Intrinsic Geometric Stability of Controller
- On Real Intrinsic Wall Crossings
- Geometric curvatures of plane symmetry black hole
- Geometric Design and Stability of Power Networks