Cargando…

Black Strings, Black Rings and State-space Manifold

State-space geometry is considered, for diverse three and four parameter non-spherical horizon rotating black brane configurations, in string theory and $M$-theory. We have explicitly examined the case of unit Kaluza-Klein momentum $D_1D_5P$ black strings, circular strings, small black rings and bla...

Descripción completa

Detalles Bibliográficos
Autores principales: Bellucci, Stefano, Tiwari, Bhupendra Nath
Formato: info:eu-repo/semantics/article
Lenguaje:eng
Publicado: Int. J. Mod. Phys. A 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1142/S0217751X11054978
http://cds.cern.ch/record/1301331
_version_ 1780921062231375872
author Bellucci, Stefano
Tiwari, Bhupendra Nath
author_facet Bellucci, Stefano
Tiwari, Bhupendra Nath
author_sort Bellucci, Stefano
collection CERN
description State-space geometry is considered, for diverse three and four parameter non-spherical horizon rotating black brane configurations, in string theory and $M$-theory. We have explicitly examined the case of unit Kaluza-Klein momentum $D_1D_5P$ 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 $D_1D_5$ black strings and three charged rotating small black rings consort real degenerate state-space manifolds. Interestingly, arbitrary valued $M_5$-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.
format info:eu-repo/semantics/article
id cern-1301331
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
publisher Int. J. Mod. Phys. A
record_format invenio
spelling cern-13013312021-05-03T20:31:01Z doi:10.1142/S0217751X11054978 http://cds.cern.ch/record/1301331 eng Bellucci, Stefano Tiwari, Bhupendra Nath Black Strings, Black Rings and State-space Manifold Particle Physics - Theory State-space geometry is considered, for diverse three and four parameter non-spherical horizon rotating black brane configurations, in string theory and $M$-theory. We have explicitly examined the case of unit Kaluza-Klein momentum $D_1D_5P$ 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 $D_1D_5$ black strings and three charged rotating small black rings consort real degenerate state-space manifolds. Interestingly, arbitrary valued $M_5$-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. info:eu-repo/grantAgreement/EC/FP7/226455 info:eu-repo/semantics/openAccess Education Level info:eu-repo/semantics/article http://cds.cern.ch/record/1301331 Int. J. Mod. Phys. A Int. J. Mod. Phys. A, 32 (2011) pp. 5403-5464 2010-10-20
spellingShingle Particle Physics - Theory
Bellucci, Stefano
Tiwari, Bhupendra Nath
Black Strings, Black Rings and State-space Manifold
title Black Strings, Black Rings and State-space Manifold
title_full Black Strings, Black Rings and State-space Manifold
title_fullStr Black Strings, Black Rings and State-space Manifold
title_full_unstemmed Black Strings, Black Rings and State-space Manifold
title_short Black Strings, Black Rings and State-space Manifold
title_sort black strings, black rings and state-space manifold
topic Particle Physics - Theory
url https://dx.doi.org/10.1142/S0217751X11054978
http://cds.cern.ch/record/1301331
http://cds.cern.ch/record/1301331
work_keys_str_mv AT belluccistefano blackstringsblackringsandstatespacemanifold
AT tiwaribhupendranath blackstringsblackringsandstatespacemanifold