Hedgehogs in higher dimensional gravity with curvature self-interactions

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.

14 pages in RevTex style, one figure

References in corpus (11)

• An exotic class of Kaluza-Klein models
• Localizing Gravity on a String-Like Defect in Six Dimensions
• Solving the Hierarchy Problem with Noncompact Extra Dimensions
• String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
• Brane-World Cosmology in Higher Derivative Gravity or Warped Compactification in the Next-to-leading Order of AdS/CFT Correspondence
• Living Inside a Hedgehog: Higher-dimensional Solutions that Localize Gravity
• Gravity of higher-dimensional global defects
• Consistency of Higher Derivative Gravity in the Brane Background
• Various Modified Solutions of the Randall-Sundrum Model with the Gauss-Bonnet Interaction
• Warp Factors and Extended Sources in Two Transverse Dimensions
• Naked Singularity and Gauss-Bonnet Term in Brane World Scenarios

Cited by in corpus (8)

• Warped compactification on Abelian vortex in six dimensions
• Warped brane-world compactification with Gauss-Bonnet term
• Completely localized gravity with higher curvature terms
• Thick branes and Gauss-Bonnet self-interactions
• Brane localization of gravity in higher derivative theory
• Zero modes of six-dimensional Abelian vortices
• Six-dimensional Abelian vortices with quadratic curvature self-interactions
• Time-dependent gravitating solitons in five dimensional warped space-times