Gravitational Stability and Extra Timelike Dimensions

Details Gravitational Stability and Extra Timelike Dimensions Gravitational Stability and Extra Timelike Dimensions

2000-07-26

arxiv.org/abs/hep-ph/0007290v3

Phys.Rev. D63 (2001) 065014; Erratum-ibid. D63 (2001) 129901

Physics

High Energy Physics

High Energy Physics - Phenomenology

harvmac, 10 pages, 4 figures; typos corrected, one comment and ref.[5] added

Scientific paper

10.1103/PhysRevD.63.065014

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 $R=2\pi L p$ for some positive integers $p$. We also prove the generic property of massive bodies that for the range $0

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