Hedgehogs in higher dimensional gravity with curvature self-interactions

Details Hedgehogs in higher dimensional gravity with curvature self-interactions Hedgehogs in higher dimensional gravity with curvature self-interactions

2000-09-21

arxiv.org/abs/hep-th/0009172v1

Phys.Rev. D63 (2001) 085005

Physics

High Energy Physics

High Energy Physics - Theory

14 pages in RevTex style, one figure

Scientific paper

10.1103/PhysRevD.63.085005

Static solutions of the higher dimensional Einstein-Hilbert gravity supplemented by quadratic curvature self-interactions are discussed in the presence of hedgehog configurations along the transverse dimensions. The quadratic part of the action is parametrized in terms of the (ghost-free) Euler-Gauss-Bonnet curvature invariant. Spherically symmetric profiles of the transverse metric admit exponentially decaying warp factors both for positive and negative bulk cosmological constants.

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