Toward numerical relativity in rs-ii model

Norihiro Tanahashi, Motoyuki Saijo, Masaru Shibata, Takahiro Tanaka

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

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 languageEnglish
Title of host publicationProceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
Pages351-354
Number of pages4
Publication statusPublished - 2009
Externally publishedYes
Event19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo
Duration: 2009 Nov 302009 Dec 4

Other

Other19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
CityTokyo
Period09/11/3009/12/4

Fingerprint

relativity
conformal mapping
numerical analysis
gauge theory
boundary conditions
gravitation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Tanahashi, N., Saijo, M., Shibata, M., & Tanaka, T. (2009). Toward numerical relativity in rs-ii model. In Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 (pp. 351-354)

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

Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. p. 351-354.

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

Tanahashi, N, Saijo, M, Shibata, M & Tanaka, T 2009, Toward numerical relativity in rs-ii model. in Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. pp. 351-354, 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, 09/11/30.
Tanahashi N, Saijo M, Shibata M, Tanaka T. Toward numerical relativity in rs-ii model. In Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. p. 351-354
Tanahashi, Norihiro ; Saijo, Motoyuki ; Shibata, Masaru ; Tanaka, Takahiro. / Toward numerical relativity in rs-ii model. Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. pp. 351-354
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