Living inside a hedgehog: Higher-dimensional solutions that localize gravity

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 ≥ 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. (C) 2000 Elsevier Science B.V. All rights reserved.

Published in:
Phys. Lett., B491, 353-361
Other identifiers:
Scopus: 2-s2.0-0034687308

 Record created 2010-09-07, last modified 2018-03-17

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