Living inside a hedgehog: Higher dimensional solutions that localize gravity
Jun, 200014 pages
Published in:
- Phys.Lett.B 491 (2000) 353-361
e-Print:
- hep-th/0006251 [hep-th]
Report number:
- UNIL-IPT-00-14
Citations per year
Abstract:
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 , 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.- Einstein equation: solution
- dimension: >4
- membrane model: p-brane
- p-brane: 3
- asymptotic behavior
- defect: topological
- field theory: scalar
- field theory: tensor
- gravitation: correction
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