New results on asymmetric thick branes

Abstract

This work deals with the presence and stability of thick brane solutions in the warped five dimensional braneworld scenario with a single extra spatial dimension of infinite extent. We combine two distinct procedures that give rise to new possibilities, allowing that we describe models of asymmetric thick branes, with the asymmetry being controlled by a single real parameter. We illustrate the main results with some distinct models, which show that the method works for both standard and generalized models, and the solutions are gravitationally stable against small perturbations of the metric.

arXiv comment11 pages, 7 figures

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• Internal structure of cuscuton Bloch brane
• Symmetric and asymmetric thick brane structures
• First order formalism for thick branes in modified gravity with Lagrange multiplier
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