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arXiv · hep-ph/9905417

Deviations from the $1/r^2$ Newton law due to extra dimensions

A. Kehagias·K. Sfetsos
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Abstract

We systematically examine corrections to the gravitational inverse square law, which are due to compactified extra dimensions. We find the induced Yukawa-type potentials for which we calculate the strength αand range. In general the range of the Yukawa correction is given by the wavelength of the lightest Kaluza-Klein state and its strength, relative to the standard gravitational potential, by the corresponding degeneracy. In particular, when n extra dimensions are compactified on an n-torus, we find that the strength of the potential is α=2n, whereas the compactification on an n-sphere gives α= n+1. For Calabi-Yau compactifications the strength can be at most α=20.

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A. Kehagias, K. Sfetsos. 1999-12-13. Deviations from the $1/r^2$ Newton law due to extra dimensions. https://doi.org/10.1016/s0370-2693(99)01421-5

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