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Hedgehogs in higher dimensional gravity with curvature self-interactions

Massimo Giovannini
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Abstract

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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Massimo Giovannini. 2000-09-21. Hedgehogs in higher dimensional gravity with curvature self-interactions. https://doi.org/10.1103/physrevd.63.085005

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