### Abstract

We investigate the integrability of Nambu-Goto strings with a cohomogeneity-one symmetry in the Minkowski spacetime. By virtue of the symmetry, the equations of motion reduce to the geodesic equations in a three dimensional orbit space. The orbit space inherits the Killing vectors from the Minkowski spacetime, which help us to integrate the geodesic equations. The cohomogeneity-one strings are fallen into seven families (Type I ∼ VII) in the Minkowski spacetime. We find that the strings of Type I ∼ VI are integrable due to the existence of two or more inherited Killing vectors. We also find that the strings of Type VII are integrable due to the existence of an inherited Killing vector and a Killing tensor.

Original language | English |
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Title of host publication | Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 |

Publication status | Published - 2008 |

Event | 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, Japan Duration: 2008 Nov 17 → 2008 Nov 21 |

### Other

Other | 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 |
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Country | Japan |

City | Higashi-Hiroshima |

Period | 08/11/17 → 08/11/21 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008*

**Integrability of strings with a symmetry in the minkowski spacetime.** / Kozaki, Hiroshi; Koike, Tatsuhiko; Ishihara, Hideki.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008.*18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008, Higashi-Hiroshima, Japan, 08/11/17.

}

TY - GEN

T1 - Integrability of strings with a symmetry in the minkowski spacetime

AU - Kozaki, Hiroshi

AU - Koike, Tatsuhiko

AU - Ishihara, Hideki

PY - 2008

Y1 - 2008

N2 - We investigate the integrability of Nambu-Goto strings with a cohomogeneity-one symmetry in the Minkowski spacetime. By virtue of the symmetry, the equations of motion reduce to the geodesic equations in a three dimensional orbit space. The orbit space inherits the Killing vectors from the Minkowski spacetime, which help us to integrate the geodesic equations. The cohomogeneity-one strings are fallen into seven families (Type I ∼ VII) in the Minkowski spacetime. We find that the strings of Type I ∼ VI are integrable due to the existence of two or more inherited Killing vectors. We also find that the strings of Type VII are integrable due to the existence of an inherited Killing vector and a Killing tensor.

AB - We investigate the integrability of Nambu-Goto strings with a cohomogeneity-one symmetry in the Minkowski spacetime. By virtue of the symmetry, the equations of motion reduce to the geodesic equations in a three dimensional orbit space. The orbit space inherits the Killing vectors from the Minkowski spacetime, which help us to integrate the geodesic equations. The cohomogeneity-one strings are fallen into seven families (Type I ∼ VII) in the Minkowski spacetime. We find that the strings of Type I ∼ VI are integrable due to the existence of two or more inherited Killing vectors. We also find that the strings of Type VII are integrable due to the existence of an inherited Killing vector and a Killing tensor.

UR - http://www.scopus.com/inward/record.url?scp=84888195856&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888195856&partnerID=8YFLogxK

M3 - Conference contribution

BT - Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008

ER -