https://doi.org/10.1140/epjc/s10052-024-13552-5
Regular Article
Brane stability under 
gravity
1
Research Center for Quantum Physics, Huzhou University, 313000, Huzhou, People’s Republic of China
2
Secretaria da Educação do Ceará (SEDUC), Coordenadoria Regional de Desenvolvimento da Educação (CREDE 9), 62880-384, Horizonte, Ceará, Brazil
3
Centro de 0Investigación en Computación, Instituto Politécnico Nacional, UPALM, 07700, Mexico City, CDMX, Mexico
Received:
2
September
2024
Accepted:
28
October
2024
Published online:
15
November
2024
The focus of this paper is to investigate the behavior of a codimension-one thick brane in the modified symmetric teleparallel gravity structure 
, where Q is the nonmetricity scalar and 
is the trace of the energy–momentum tensor. Additionally, we examine whether braneworld scenarios are stable under small tensor perturbations and identify the associated massive and resonant modes. Our results indicate that the parameters controlling the modifications to the gravitational model-specifically those affecting nonmetricity and the energy–momentum tensor-significantly influence both the location and existence of these modes.
© The Author(s) 2024
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Funded by SCOAP3.
