Braneworlds in Einstein-Scalar-Gauss-Bonnet gravity

Fuente: arXiv
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Main Authors: Silva, José Euclides G., Lessa, Leandro A., Maluf, Roberto V.
Format: Preprint
Published: 2025
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author Silva, José Euclides G.
Lessa, Leandro A.
Maluf, Roberto V.
author_facet Silva, José Euclides G.
Lessa, Leandro A.
Maluf, Roberto V.
contents We explore the features of a thick braneworld model in five dimensions governed by a Einstein-Gauss-Bonnet gravity with a non-minimal coupling to a dynamical scalar field. We consider two possible scalar-GB coupling function $χ(ϕ)$, one parity-even and another parity-odd function of the scalar field $ϕ$. For both choices, the scalar-Gauss-Bonnet non-minimal coupling produces a warped asymptotically $AdS_5$ spacetime even in the absence of a bulk cosmological constant. Outside the brane core, a negative cosmological constant is bounded by the scalar-GB coupling function. For a thick 3-brane configuration, we found solutions with localized brane energy density and pressure that dynamically produce a bulk cosmological constant. The corresponding scalar field solutions exhibit a non-topological (domain wall) behavior. In order to probe the 3-brane stability solution, we employed a perturbative analysis, by perturbing the thick brane solutions up to first-order. The Kaluza-Klein (KK) tensorial gravitational modes possess a localized massless mode and a tower of non-tachyonic diverging massive modes, what renders the solutions stable at least at the perturbative level.
format Preprint
id arxiv_https___arxiv_org_abs_2508_21725
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Braneworlds in Einstein-Scalar-Gauss-Bonnet gravity
Silva, José Euclides G.
Lessa, Leandro A.
Maluf, Roberto V.
General Relativity and Quantum Cosmology
We explore the features of a thick braneworld model in five dimensions governed by a Einstein-Gauss-Bonnet gravity with a non-minimal coupling to a dynamical scalar field. We consider two possible scalar-GB coupling function $χ(ϕ)$, one parity-even and another parity-odd function of the scalar field $ϕ$. For both choices, the scalar-Gauss-Bonnet non-minimal coupling produces a warped asymptotically $AdS_5$ spacetime even in the absence of a bulk cosmological constant. Outside the brane core, a negative cosmological constant is bounded by the scalar-GB coupling function. For a thick 3-brane configuration, we found solutions with localized brane energy density and pressure that dynamically produce a bulk cosmological constant. The corresponding scalar field solutions exhibit a non-topological (domain wall) behavior. In order to probe the 3-brane stability solution, we employed a perturbative analysis, by perturbing the thick brane solutions up to first-order. The Kaluza-Klein (KK) tensorial gravitational modes possess a localized massless mode and a tower of non-tachyonic diverging massive modes, what renders the solutions stable at least at the perturbative level.
title Braneworlds in Einstein-Scalar-Gauss-Bonnet gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.21725