English

Hedgehogs in higher dimensional gravity with curvature self-interactions

High Energy Physics - Theory 2009-10-31 v1 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.hep-th/0009172,
  title  = {Hedgehogs in higher dimensional gravity with curvature self-interactions},
  author = {Massimo Giovannini},
  journal= {arXiv preprint arXiv:hep-th/0009172},
  year   = {2009}
}

Comments

14 pages in RevTex style, one figure

R2 v1 2026-07-22T15:00:01.328Z