Black Strings, Black Rings and State-space Manifold
Oct, 2010Citations per year
Abstract: (arXiv)
State-space geometry is considered, for diverse three and four parameter non-spherical horizon rotating black brane configurations, in string theory and -theory. We have explicitly examined the case of unit Kaluza-Klein momentum black strings, circular strings, small black rings and black supertubes. An investigation of the state-space pair correlation functions shows that there exist two classes of brane statistical configurations, {\it viz.}, the first category divulges a degenerate intrinsic equilibrium basis, while the second yields a non-degenerate, curved, intrinsic Riemannian geometry. Specifically, the solutions with finitely many branes expose that the two charged rotating black strings and three charged rotating small black rings consort real degenerate state-space manifolds. Interestingly, arbitrary valued -dipole charged rotating circular strings and Maldacena Strominger Witten black rings exhibit non-degenerate, positively curved, comprehensively regular state-space configurations. Furthermore, the state-space geometry of single bubbled rings admits a well-defined, positive definite, everywhere regular and curved intrinsic Riemannian manifold; except for the two finite values of conserved electric charge. We also discuss the implication and potential significance of this work for the physics of black holes in string theory.Note:
- 41 pages, Keywords: Rotating Black Branes; Microscopic Configurations; State-space Geometry, 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
- 04.70.-s
- 04.70.Bw
- 04.70.Dy
- Rotating black branes
- microscopic configurations
- state-space geometry
- black brane: rotation
- charge: electric
- black string: rotation
- black string: charge
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