https://doi.org/10.1140/epjc/s10052-024-13684-8
Regular Article - Theoretical Physics
Geometrical deformation of brane matter field within f(R, Q, P) gravity
1
Departamento de Física, Universidade Federal do Ceará, Campus do Pici, 60455-760, Fortaleza, Ceará, Brazil
2
Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, Paraíba, Brazil
Received:
8
October
2024
Accepted:
4
December
2024
Published online:
21
December
2024
In the context of braneworld scenarios, the real scalar field plays a crucial role by providing thickness for brane. In this work, we investigate a codimension-one thick brane within the framework of f(R, Q, P) gravity, where R represents the curvature scalar, while and
are quadratic geometric invariants. Our interest is to investigate the influence of these invariants on the scalar field solution and the energy density of the brane. Furthermore, we analyze the localization of spin 1/2 fermions and the gravitino by employing a Yukawa-like coupling with the scalar field background. Such a coupling is able to produce a normalizable zero-mode for both fields.
© The Author(s) 2024
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