Newton's law in braneworlds with an infinite extra dimension

Abstract

We study the behavior of the four$-$dimensional Newton's law in warped braneworlds. The setup considered here is a $(3+n)$-brane embedded in $(5+n)$ dimensions, where $n$ extra dimensions are compactified and a dimension is infinite. We show that the wave function of gravity is described in terms of the Bessel functions of $(2+n/2)$-order and that estimate the correction to Newton's law. In particular, the Newton's law for $n=1$ can be exactly obtained.

References in corpus (3)

• Warped Geometry in Higher Dimensions with an Orbifold Extra Dimension
• Various Types of Five-Dimensional Warp Factor and Effective Planck Scale
• Five-Dimensional Warped Geometry with a Bulk Scalar Field

Cited by in corpus (12)

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• 4D gravity on a BPS brane in 5D AdS-Minkowski space
• Correction terms to Newton law due to induced gravity in AdS background
• Localized gravity on de Sitter brane in five dimensions
• Localization of gravity in brane world with arbitrary extra dimensions
• Scalar potential from de Sitter brane in 5D and effective cosmological constant
• Linearized gravity in flat braneworlds with anisotropic brane tension
• Cosmological constant and curved 5D geometry