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arXiv · 2011.06240

Novel modified gravity braneworld configurations with a Lagrange multiplier

Dionisio Bazeia·Douglas A. Ferreira·Francisco S. N. Lobo·João Luís Rosa
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Abstract

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.

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Dionisio Bazeia, Douglas A. Ferreira, Francisco S. N. Lobo, João Luís Rosa. 2020-11-12. Novel modified gravity braneworld configurations with a Lagrange multiplier. https://doi.org/10.1140/epjp/s13360-021-01304-3

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