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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2008
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/0804.0084 |
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| _version_ | 1866909239701667840 |
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| author | Koike, Tatsuhiko Kozaki, Hiroshi Ishihara, Hideki |
| author_facet | Koike, Tatsuhiko Kozaki, Hiroshi Ishihara, Hideki |
| contents | The equation of motion of an extended object in spacetime reduces to an ordinary differential equation in the presence of symmetry. By properly defining of the symmetry with notion of cohomogeneity, we discuss the method for classifying all these extended objects. We carry out the classification for the strings in the five-dimensional anti-de Sitter space by the effective use of the local isomorphism between $\SO(4,2)$ and $\SU(2,2)$. We present a general method for solving the trajectory of the Nambu-Goto string and apply to a case obtained by the classification, thereby find a new solution which has properties unique to odd-dimensional anti-de Sitter spaces. The geometry of the solution is analized and found to be a timelike helicoid-like surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0804_0084 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | Strings in five-dimensional anti-de Sitter space with a symmetry Koike, Tatsuhiko Kozaki, Hiroshi Ishihara, Hideki General Relativity and Quantum Cosmology The equation of motion of an extended object in spacetime reduces to an ordinary differential equation in the presence of symmetry. By properly defining of the symmetry with notion of cohomogeneity, we discuss the method for classifying all these extended objects. We carry out the classification for the strings in the five-dimensional anti-de Sitter space by the effective use of the local isomorphism between $\SO(4,2)$ and $\SU(2,2)$. We present a general method for solving the trajectory of the Nambu-Goto string and apply to a case obtained by the classification, thereby find a new solution which has properties unique to odd-dimensional anti-de Sitter spaces. The geometry of the solution is analized and found to be a timelike helicoid-like surface. |
| title | Strings in five-dimensional anti-de Sitter space with a symmetry |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/0804.0084 |