### Abstract

To investigate non-trivial connection between gauge theory and higher-dimensional gravity theory, we try to establish a numerical scheme for a higher-dimensional spacetime with negative cosmological constant. The cosmological constant warps the spacetime, and then the asymptotic boundary condition becomes nontrivial. We discuss how such a problem can be circumvented by the modification of the scheme. We illustrate how to subtract the effect of the negative cosmological constant from the metric in the aid of conformal transformation. We also discuss how to take the brane into the scheme to apply this technique to the numerical analysis of the braneworld models.

Original language | English |
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Pages | 351-354 |

Number of pages | 4 |

Publication status | Published - Dec 1 2009 |

Externally published | Yes |

Event | 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo, Japan Duration: Nov 30 2009 → Dec 4 2009 |

### Other

Other | 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 |
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Country | Japan |

City | Tokyo |

Period | 11/30/09 → 12/4/09 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cite this

*Toward numerical relativity in rs-ii model*. 351-354. Paper presented at 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan.

**Toward numerical relativity in rs-ii model.** / Tanahashi, Norihiro; Saijo, Motoyuki; Shibata, Masaru; Tanaka, Takahiro.

Research output: Contribution to conference › Paper

}

TY - CONF

T1 - Toward numerical relativity in rs-ii model

AU - Tanahashi, Norihiro

AU - Saijo, Motoyuki

AU - Shibata, Masaru

AU - Tanaka, Takahiro

PY - 2009/12/1

Y1 - 2009/12/1

N2 - To investigate non-trivial connection between gauge theory and higher-dimensional gravity theory, we try to establish a numerical scheme for a higher-dimensional spacetime with negative cosmological constant. The cosmological constant warps the spacetime, and then the asymptotic boundary condition becomes nontrivial. We discuss how such a problem can be circumvented by the modification of the scheme. We illustrate how to subtract the effect of the negative cosmological constant from the metric in the aid of conformal transformation. We also discuss how to take the brane into the scheme to apply this technique to the numerical analysis of the braneworld models.

AB - To investigate non-trivial connection between gauge theory and higher-dimensional gravity theory, we try to establish a numerical scheme for a higher-dimensional spacetime with negative cosmological constant. The cosmological constant warps the spacetime, and then the asymptotic boundary condition becomes nontrivial. We discuss how such a problem can be circumvented by the modification of the scheme. We illustrate how to subtract the effect of the negative cosmological constant from the metric in the aid of conformal transformation. We also discuss how to take the brane into the scheme to apply this technique to the numerical analysis of the braneworld models.

UR - http://www.scopus.com/inward/record.url?scp=84887427430&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887427430&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84887427430

SP - 351

EP - 354

ER -