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

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

2001-09-19

arxiv.org/abs/hep-th/0109140v3

Phys.Lett. B524 (2002) 357-362

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figure, minor changes, version to appear in PLB

Scientific paper

10.1016/S0370-2693(01)01392-2

Based on the assumption that the warp factor of four-dimensional spacetime and the one of fifth dimension are tied through a parameter $\alpha$, we consider five-dimensional gravity with a 3-brane coupled to a bulk scalar field. For arbitrary value of $\alpha$, 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 $\alpha$, 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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