論文

基本情報

氏名 山内 大介
氏名(カナ) ヤマウチ ダイスケ
氏名(英語) Yamauchi Daisuke
所属 理学部 物理学科
職名 講師
researchmap研究者コード B000327615
researchmap機関 岡山理科大学

題名

A Brane World in an Arbitrary Dimensions Without Z_2 Symmetry

単著・共著の別

共著

著者

Daisuke Yamauchi, Misao Sasaki

概要

We consider a brane world in an arbitrary number of dimensions without Z2 symmetry and derive the effective Einstein equation on the brane, where its right-hand side is given by the matter on the brane and the curvature in the bulk. This is achieved by first deriving the junction conditions for a non-Z2 symmetric brane and second solving the Gauss equation, which relates the mean extrinsic curvature of the brane to the curvature in the bulk, with respect to the mean extrinsic curvature. The latter corresponds to formulating an explicit junction condition on the mean of the extrinsic curvature, analogous to the Israel junction condition for the jump of the extrinsic curvature. We find that there appears a new type of effective anisotropic fluid on the right-hand side of the effective Einstein equation due to the fact that there is no Z2 symmetry. The derived equation is a basic equation for the study of Kaluza-Klein brane worlds in which some dimensions on the brane are compactified or for a regularization scheme for a higher codimension brane world, where the Kaluza-Klein compactification on the brane is regarded as a means to regularize the uncontrollable spacetime singularity created by the higher codimension brane.

発表雑誌等の名称

Progress of Theoretical Physics

出版者

118

2

開始ページ

終了ページ

発行又は発表の年月

2007/08

査読の有無

有り

招待の有無

無し

記述言語

英語

掲載種別

研究論文(学術雑誌)

ISSN

ID:DOI

https://doi.org/10.1143/PTP.118.245

ID:NAID(CiNiiのID)

ID:PMID

URL

JGlobalID

arXiv ID

0705.2443

ORCIDのPut Code

DBLP ID