https://doi.org/10.1140/epjp/s13360-022-03178-5
Regular Article
Multi-kink braneworld configurations in the scalar-tensor representation of f(R, T) gravity
1
Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, Paraíba, PB, Brazil
2
Escola Técnica de Saúde de Cajazeiras, Universidade Federal de Campina Grande, 58900-000, Cajazeiras, PB, Brazil
3
Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411, Tartu, Estonia
Received:
23
July
2022
Accepted:
10
August
2022
Published online:
3
September
2022
In this work, we investigate the f(R, T) brane in the scalar-tensor representation, where the solutions of the equations of motions for the source field engender topological defects with two-kink profiles. We use the first-order formalism to obtain analytical solutions for the source field of the brane and analyze how these solutions modify the structure of the auxiliary fields arising from the scalar-tensor representation of the theory. We found that when the model engenders two-kink solutions, the auxiliary fields are modified in order to allow for the appearance of an internal structure. In addition, the stability potential and zero mode also have their internal structure modified by two-kink solution.
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