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arXiv · hep-ph/0007290

Gravitational Stability and Extra Timelike Dimensions

Satoshi Matsuda·Shigenori Seki
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Abstract

Tachyonic Kaluza-Klein modes normally appear from the compactification of extra timelike dimensions with scale $L$ and lead to some instabilities of physical systems. We calculate the contribution of tachyonic gravitons to the self energies of spherical massive bodies of radius $R$ and discuss their possible gravitational stability. We find that some spherical bodies can be stable at critical radii $R=2πL p$ for some positive integers $p$. We also prove the generic property of massive bodies that for the range $0<R\leqπL$ the gravitational force due to the ordinary massless graviton exchange is screened by the Kaluza-Klein mode exchange of tachyonic gravitons.

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Satoshi Matsuda, Shigenori Seki. 2000-08-06. Gravitational Stability and Extra Timelike Dimensions. https://doi.org/10.1103/physrevd.63.065014%2010.1103%2Fphysrevd.63.129901

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