Systematic method for solving strings having a symmetry in the space-time

Tatsuhiko Koike, Hideki Ishihara, Hiroshi Kozaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the presence of certain symmetry, called cohomogeneity-one symmetry, the equation of motion of an extended object in spacetime reduces to the problem of finding geodesics on a certain orbit space. We present a general method for obtaining solutions of such extented objects and classifying them. The classification is carried out in 4-dimensional Minkowski space and in 5-dimensional anti-de Sitter space. The solvability condition is described in terms of Killing vectors and Killing tensors which mutually commute. In 4-dimensional Minkowski space, it is found that all types of cohomogeneity-one strings are solvable. In the case of 5-dimensional de Sitter space, there are not enough number of commuting Killing vectors but that the problem reduces to that of finding curves on a two-dimensional surface.

Original languageEnglish
Title of host publicationProceedings of Science
Publication statusPublished - 2008
EventBlack Holes in General Relativity and String Theory, BHs, GR and Strings 2008 - Veli Losinj, Croatia
Duration: 2008 Aug 242008 Aug 30

Other

OtherBlack Holes in General Relativity and String Theory, BHs, GR and Strings 2008
CountryCroatia
CityVeli Losinj
Period08/8/2408/8/30

Fingerprint

strings
Minkowski space
symmetry
classifying
equations of motion
tensors
orbits
curves

ASJC Scopus subject areas

  • General

Cite this

Koike, T., Ishihara, H., & Kozaki, H. (2008). Systematic method for solving strings having a symmetry in the space-time. In Proceedings of Science

Systematic method for solving strings having a symmetry in the space-time. / Koike, Tatsuhiko; Ishihara, Hideki; Kozaki, Hiroshi.

Proceedings of Science. 2008.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Koike, T, Ishihara, H & Kozaki, H 2008, Systematic method for solving strings having a symmetry in the space-time. in Proceedings of Science. Black Holes in General Relativity and String Theory, BHs, GR and Strings 2008, Veli Losinj, Croatia, 08/8/24.
Koike T, Ishihara H, Kozaki H. Systematic method for solving strings having a symmetry in the space-time. In Proceedings of Science. 2008
Koike, Tatsuhiko ; Ishihara, Hideki ; Kozaki, Hiroshi. / Systematic method for solving strings having a symmetry in the space-time. Proceedings of Science. 2008.
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