Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-06-30
Phys.Lett. B491 (2000) 353-361
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 1 figure, LaTeX; v2: references added, to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(00)00979-5
We consider spherically symmetric higher-dimensional solutions of Einstein's equations with a bulk cosmological constant and n transverse dimensions. In contrast to the case of one or two extra dimensions we find no solutions that localize gravity when $n\geq 3$, for strictly local topological defects. We discuss global topological defects that lead to the localization of gravity and estimate the corrections to Newton's law. We show that the introduction of a bulk ``hedgehog'' magnetic field leads to a regular geometry and localizes gravity on the 3-brane with either a positive, zero or negative bulk cosmological constant. The corrections to Newton's law on the 3-brane are parametrically the same as for the case of one transverse dimension.
Gherghetta Tony
Roessl Ewald
Shaposhnikov Mikhail
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