Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-09
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, based on the invited talk at the XXXVIth Rencontres de Moriond, to appear in proceedings. Typos corrected
Scientific paper
We discuss extra timelike dimensions and their effects on the gravitational stability of spherical massive bodies. Here we specifically report our results for the case of one extra timelike dimension where we have made analytically rigorous investigations on the tachyonic graviton exchange due to the infinite tower of the Kaluza-Klein mode. With the scale $L$ of the extra timelike dimension we find that some spherical bodies of radius $R$ can be stable at critical radii $R=2\pi Lp$ for some positive integer $p$. We also obtain the generic property of massive bodies that for the short distance range $0
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