2020/11/30 by Dionisio Bazeia, D. Bazeia, D. A. Ferreira +3 · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Geometry #Gravitation #Gravitational field #Lagrange multiplier #Mathematics #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #Tracing #gr-qc
paper · pdf · doi:10.1140/epjp/s13360-021-01304-3
published in The European Physical Journal Plus 136(3) (Springer Science+Business Media) · 10 pages, 4 figures
openalex publication_date 2021/03/01 · arxiv created 2021/03/20 · arxiv updated 2021/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.