https://doi.org/10.1140/epjp/s13360-025-07238-4
Regular Article
Thick braneworld in 
gravity
Departamento de Física, Universidade Federal do Ceará, Campus do Pici, 60455-760, Fortaleza, CE, Brazil
a
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Received:
5
September
2025
Accepted:
16
December
2025
Published online:
21
January
2026
Abstract
In this work, we study a codimension-one thick brane in modified symmetric teleparallel gravity for the specific additive ansatz 
. Using two physically motivated warp factor, we construct the full brane system, derive background solutions, and analyze how nonmetricity corrections and the matter-trace coupling modify brane internal structure and graviton localization. For both warp profiles, we obtain the corresponding Schrödinger-like equation for tensor perturbations, identify conditions for volcano and multi-well effective potentials, and determine when a localized zero mode arises. We discuss the physical implications of our results, such as possible short-range corrections to Newton’s law and resonant Kaluza–Klein modes, and outline observational prospects and directions for future work.
© The Author(s) 2026
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