https://doi.org/10.1140/epjp/s13360-021-01304-3
Regular Article
Novel modified gravity braneworld configurations with a Lagrange multiplier
1
Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil
2
Unidade Acadêmica de Física, Universidade Federal de Campina Grande, 58429-900, Campina Grande, PB, Brazil
3
Departamenteo de Física, Faculdade de Ciências da Universidade de Lisboa, Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, P-1749-016, Lisbon, Portugal
4
Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411, Tartu, Estonia
Received:
22
December
2020
Accepted:
9
March
2021
Published online:
17
March
2021
In this work, we deal with thick brane solutions in the warped five-dimensional braneworld scenario with a single extra spatial dimension of infinite extent, for a class of modified theories of gravity with a Lagrange multiplier. We first present the action, describe the gravity and field equations, outline a strategy to find explicit solutions and explore the stability of the gravitational sector. The investigation deals mainly with the construction of a first-order framework capable of using a single scalar field to simulate warp functions that appear in two-field models. In particular, we find specific symmetric and asymmetric brane configurations that engender asymptotic profiles with symmetric and asymmetric five-dimensional anti-de Sitter geometries. Thus, including a Lagrange multiplier unveils an alternative approach to induce brane structure using a single scalar field, tracing out new avenues of research in braneworld scenarios, naturally leading to interesting results for the localization of matter fields in the brane.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
