Revisiting Effective Einstein Equations on a 3-Brane in the Presence of Torsion

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2023-09-04 DOI:10.1134/S020228932303009X
S. Khakshournia, R. Mansouri
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Abstract

The effective Einstein equations on a 3-brane embedded in a 5-dimensional Riemann–Cartan bulk space-time are revisited. Addressing the shortcomings in the hitherto published junction conditions on the brane in the presence of torsion, we have elaborated on our general form of the junction conditions recently published. Applying our general junction conditions, we formulate the effective Einstein equations on a \(Z_{2}\) symmetric brane in a standard form highlighting the difference to those published so far.

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在存在扭转的3-膜上重述有效爱因斯坦方程
重新考察了嵌入在5维黎曼-卡坦体时空中的3膜上的有效爱因斯坦方程。针对迄今为止发表的在存在扭转的膜上的结条件的缺点,我们详细阐述了最近发表的结条件的一般形式。应用我们的一般结条件,我们以标准形式在\(Z_{2}\)对称膜上制定了有效的爱因斯坦方程,突出了与迄今为止发表的不同之处。
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来源期刊
Gravitation and Cosmology
Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
审稿时长
>12 weeks
期刊介绍: Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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