Five-Dimensional Warped Product Space-Time with Time-Dependent Warping and a Scalar Field in the Bulk
- 作者: Guha S.1, Bhattacharya P.2,1
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隶属关系:
- Department of Physics
- Gopal Nagar High School
- 期: 卷 24, 编号 3 (2018)
- 页面: 274-284
- 栏目: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176207
- DOI: https://doi.org/10.1134/S0202289318030064
- ID: 176207
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详细
We consider gravity in a five-dimensional warped product space-time, with a time-dependent warp factor and a time-dependent extra dimension. The five-dimensional field equations are derived for a spatially flat FRW brane, and the energy conditions and the nature of bulk geometry are examined. It is found that the expansion of the four-dimensional universe depends on its location along the extra dimension and is different at different locations in the bulk space-time. At low energies, the trapping of fields within the brane implies a specific correlation between the warp factor and the extra-dimensional scale factor. Generally, the bulk is not conformally flat. At high energies, the bulk is assumed to be sourced by a scalar field with self-interaction. The analysis shows that the potential of the scalar field source of gravity at a given position along the fifth dimension is related to the Hubble parameter on the brane at that position in the bulk.
作者简介
Sarbari Guha
Department of Physics
编辑信件的主要联系方式.
Email: srayguha@yahoo.com
印度, Kolkata, 700016
Pinaki Bhattacharya
Gopal Nagar High School; Department of Physics
Email: srayguha@yahoo.com
印度, Singur, West Bengal, 712409; Kolkata, 700032