Hedgehogs in higher dimensional gravity with curvature self-interactions

TL;DR

This paper explores static solutions in higher-dimensional gravity with quadratic curvature terms, showing that exponential warp factors can exist for various cosmological constants, advancing understanding of extra-dimensional models.

Contribution

It introduces static solutions in higher-dimensional Einstein-Hilbert gravity with Euler-Gauss-Bonnet curvature, incorporating hedgehog configurations and analyzing warp factors.

Findings

Exponential warp factors are possible for both positive and negative cosmological constants.

Solutions include hedgehog configurations in higher dimensions.

The quadratic curvature terms are parametrized by the Euler-Gauss-Bonnet invariant.

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.