Abstract
This work deals with braneworld scenarios in the presence of real scalar field with standard dynamics. We show that the first-order formalism, which exists in the case of flat brane, can be extended to bent brane, for both de Sitter and anti-de Sitter geometry. We illustrate the results with some examples of current interest to high energy physics.
Highlights
In this work we focus attention on the braneworld scenario described in five-dimensional space-time with warped geometry involving a single extra dimension
This issue is addressed for instance in Refs. [4, 5, 6, 7, 8, 9, 10, 11], and it is nicely solved in case the four-dimensional embedded geometry is flat
The present investigation examines the issue of extending the first-order formalism to the case of bent brane, that is, we deal mainly with the possibility of obtaining first-order equations in braneworld scenario driven by scalar field, with embedded geometry of the anti-de Sitter (AdS), M, or de Sitter (dS) type
Summary
In this work we focus attention on the braneworld scenario described in five-dimensional space-time with warped geometry involving a single extra dimension. In the more general case, if the braneworld engenders four-dimensional embedded dS or AdS geometry, some progress was shown in Refs. The present investigation examines the issue of extending the first-order formalism to the case of bent brane, that is, we deal mainly with the possibility of obtaining first-order equations in braneworld scenario driven by scalar field, with embedded geometry of the AdS, M, or dS type. We consider models described by real scalar fields in five dimensional space-time with AdS geometry, which engenders a single extra dimension and generic four dimensional space-time with AdS, M, or dS geometry. We relate the functions W and Z to the warp factor, and this leads to scenarios where the scalar field may be connected with W and Z, unveiling a new route to investigate the subject. We illustrate our findings with some examples of current interest to high energy physics
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