TY - JOUR

T1 - Systematic method for solving strings having a symmetry in the space-time

AU - Koike, Tatsuhiko

AU - Ishihara, Hideki

AU - Kozaki, Hiroshi

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:84893041255

SN - 1824-8039

JO - Proceedings of Science

JF - Proceedings of Science

T2 - Black Holes in General Relativity and String Theory, BHs, GR and Strings 2008

Y2 - 24 August 2008 through 30 August 2008

ER -