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.
Highlights
The braneworld scenario in which one deals with a warped geometry that engenders a single extra spatial dimension of infinite extent was initially proposed in Ref. [1]
We mixed and extended the investigations introduced in Refs. [21, 22, 25] to construct new and stable braneworld scenarios that admit asymmetric thick branes, with the asymmetry controlled by a real parameter
We have considered the case of two scalar fields and illustrated our findings by examining several distinct models
Summary
The braneworld scenario in which one deals with a warped geometry that engenders a single extra spatial dimension of infinite extent was initially proposed in Ref. [1]. Since the above scenario is motivated by a unification theory, there seems to be a minimum length scale and it is of interest to consider the thickness of the brane. For this reason, thick brane scenarios were considered in [2,3,4,5] where the warp factor behaves smoothly due to the presence of a scalar field source in the Einstein-Hilbert action with the warped geometry. An interesting issue about the thick brane scenario is that it may have an asymmetric profile, when the scalar potential has no symmetry Z2. In this situation, the brane can asymptotically connect different five-dimensional spacetimes. Other works have dealt with the construction of new models for asymmetric braneworld scenario [21,22,23,24] and this has motivated us to implement the current study
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