Five-dimensional thick branes in the scalar representation of f(Q,B) gravity
Abstract
One examines a codimension-one thick braneworld in the scalar representation of f(Q,B) gravity, where Q is the nonmetricity scalar, and B is the boundary term satisfying R=Q−B. We write the gravitational sector in terms of two auxiliary scalar fields, φ=fQ and ψ=fB, and an interaction potential U(φ,ψ) obtained by a Legendre transformation from the f(Q,B) function. Working in the coincident gauge and assuming a five-dimensional warped geometry with four-dimensional Poincaré symmetry, we derive the complete set of brane equations sourced by a canonical bulk scalar field. To accomplish our purpose, we address two models of smooth asymptotically AdS thick brane with localized scalar profiles. Furthermore, we also analyze tensor perturbations and demonstrate the localization and stability of the massless graviton.
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BibTeX
@misc{lima2026fivedimensional,
title = {{Five-dimensional thick branes in the scalar representation of $f(Q,B)$ gravity}},
author = {F. C. E. Lima and F. M. Belchior and C. A. S. Almeida},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35862},
eprint = {2609.35862},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35862},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Five-dimensional thick branes in the scalar representation of f(Q,B) gravity
AU - F. C. E. Lima
AU - F. M. Belchior
AU - C. A. S. Almeida
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.35862
UR - https://arxiv.org/abs/2609.35862
AB - One examines a codimension-one thick braneworld in the scalar representation of f(Q,B) gravity, where Q is the nonmetricity scalar, and B is the boundary term satisfying R=Q−B. We write the gravitational sector in terms of two auxiliary scalar fields, φ=f_Q and ψ=f_B, and an interaction potential U(φ,ψ) obtained by a Legendre transformation from the f(Q,B) function. Working in the coincident gauge and assuming a five-dimensional warped geometry with four-dimensional Poincaré symmetry, we derive the complete set of brane equations sourced by a canonical bulk scalar field. To accomplish our purpose, we address two models of smooth asymptotically AdS thick brane with localized scalar profiles. Furthermore, we also analyze tensor perturbations and demonstrate the localization and stability of the massless graviton.
ER -