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arXiv · hep-th/0109140

Various Types of Five-Dimensional Warp Factor and Effective Planck Scale

Masato Ito
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Abstract

Based on the assumption that the warp factor of four-dimensional spacetime and the one of fifth dimension are tied through a parameter $α$, we consider five-dimensional gravity with a 3-brane coupled to a bulk scalar field. For arbitrary value of $α$, the form of the warp factor is implicitly determined by hypergeometric function. Concretely, we show that the warp factor becomes explicit form for appropriate value of $α$, and study the relation between four-dimensional effective Planck scale and the brane tension. This setup allows the possibility of extending the diversity of brane world.

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Masato Ito. 2001-11-10. Various Types of Five-Dimensional Warp Factor and Effective Planck Scale. https://doi.org/10.1016/s0370-2693(01)01392-2

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