Toward numerical relativity in rs-ii model

Norihiro Tanahashi, Motoyuki Saijo, Masaru Shibata, Takahiro Tanaka

Research output: Contribution to conferencePaper

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
Pages351-354
Number of pages4
Publication statusPublished - Dec 1 2009
Externally publishedYes
Event19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo, Japan
Duration: Nov 30 2009Dec 4 2009

Other

Other19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
CountryJapan
CityTokyo
Period11/30/0912/4/09

Fingerprint

relativity
conformal mapping
numerical analysis
gauge theory
boundary conditions
gravitation

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Tanahashi, N., Saijo, M., Shibata, M., & Tanaka, T. (2009). 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.

2009. 351-354 Paper presented at 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan.

Research output: Contribution to conferencePaper

Tanahashi, N, Saijo, M, Shibata, M & Tanaka, T 2009, 'Toward numerical relativity in rs-ii model', Paper presented at 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan, 11/30/09 - 12/4/09 pp. 351-354.
Tanahashi N, Saijo M, Shibata M, Tanaka T. Toward numerical relativity in rs-ii model. 2009. Paper presented at 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan.
Tanahashi, Norihiro ; Saijo, Motoyuki ; Shibata, Masaru ; Tanaka, Takahiro. / Toward numerical relativity in rs-ii model. Paper presented at 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan.4 p.
@conference{0479f9f6d766451c99491e836454e104,
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",
month = "12",
day = "1",
language = "English",
pages = "351--354",
note = "19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 ; Conference date: 30-11-2009 Through 04-12-2009",

}

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 -