Toward numerical relativity in rs-ii model

Norihiro Tanahashi; Motoyuki Saijo; Masaru Shibata; Takahiro Tanaka

Toward numerical relativity in rs-ii model

Norihiro Tanahashi, Motoyuki Saijo, Masaru Shibata, Takahiro Tanaka

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
Pages	351-354
Number of pages	4
Publication status	Published - 2009
Externally published	Yes
Event	19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo Duration: 2009 Nov 30 → 2009 Dec 4

Other

Other	19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
City	Tokyo
Period	09/11/30 → 09/12/4

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Cite this

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title = "Toward numerical relativity in rs-ii model",

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.",

author = "Norihiro Tanahashi and Motoyuki Saijo and Masaru Shibata and Takahiro Tanaka",

year = "2009",

language = "English",

pages = "351--354",

booktitle = "Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009",

note = "19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 ; Conference date: 30-11-2009 Through 04-12-2009",

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T1 - Toward numerical relativity in rs-ii model

AU - Tanahashi, Norihiro

AU - Saijo, Motoyuki

AU - Shibata, Masaru

AU - Tanaka, Takahiro

PY - 2009

Y1 - 2009

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.

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M3 - Conference contribution

AN - SCOPUS:84887427430

SP - 351

EP - 354

BT - Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009

T2 - 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009

Y2 - 30 November 2009 through 4 December 2009

ER -

Toward numerical relativity in rs-ii model

Abstract

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ASJC Scopus subject areas

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