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Five-Dimensional Warped Geometry with a Bulk Scalar Field

Masato Ito
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Abstract

We explore the diversity of warped metric function in five-dimensional gravity including a scalar field and a 3-brane. We point out that the form of the function is determined by a parameter introduced here. For a particular value of the parameter, the warped metric function is smooth without having a singularity, and we show that the bulk cosmological constant have a upper bound and must be positive and that the lower bound of five-dimensional fundamental scale is controlled by both the brane tension and four-dimensional effective Planck scale. The general warp factor obtained here may relate to models inspired by SUGRA or M-theory.

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Masato Ito. 2001-12-05. Five-Dimensional Warped Geometry with a Bulk Scalar Field. https://arxiv.org/abs/hep-th/0109040

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