Note on the Gauss-Bonnet braneworld scenario

Abstract

In this work we deal with the presence of braneworld solutions in a five-dimensional space-time with a single extra spatial dimension of infinite extent. The braneworld scenario is built under the presence of a single real scalar field, and we modify the gravity sector to include generic function of the Gauss-Bonnet term. We study several specific models, and we construct exact braneworld solutions, in particular for including the Gauss-Bonnet term at first and second order power. As an interesting result, we show that the brane tends to split for a specific modification in the gravity sector, in the presence of non constant Gauss-Bonnet term.

13 pages, to appear in PRD

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Cited by in corpus (10)

• Spherically symmetric brane in a bulk of f(R) and Gauss-Bonnet Gravity
• Frame-invariant approach to higher-dimensional scalar-tensor gravity
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Unimodular $f(G)$ gravity
• Configurational entropy as a bounding of Gauss-Bonnet braneworld models
• Internal structure of cuscuton Bloch brane
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity
• Thick brane models in generalized mimetic gravity
• Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of $f\left(R,T\right)$ gravity
• New brane-like solutions in modified four-dimensional Einstein-Gauss-Bonnet gravity