Gravity of higher-dimensional global defects

Details Gravity of higher-dimensional global defects Gravity of higher-dimensional global defects

2000-03-31

arxiv.org/abs/hep-th/0003300v1

Phys.Rev.D62:044014,2000

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures, uses revtex

Scientific paper

10.1103/PhysRevD.62.044014

Solutions of Einstein's equations are found for global defects in a higher-dimensional spacetime with a nonzero cosmological constant Lambda. The defect has a (p-1)-dimensional core (brane) and a `hedgehog' scalar field configuration in the n extra dimensions. For Lambda = 0 and n > 2, the solutions are characterized by a flat brane worldsheet and a solid angle deficit in the extra dimensions. For Lambda > 0, one class of solutions describes spherical branes in an inflating higher-dimensional universe. Instantons obtained by a Euclidean continuation of such solutions describe quantum nucleation of the entire inflating brane-world, or of a spherical brane in an inflating higher-dimensional universe. For Lambda < 0, one class of solutions exhibits an exponential warp factor. It is similar to spacetimes previously discussed by Randall and Sundrum for n = 1 and by Gregory for n = 2.

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