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- Title
Thick brane in f( R) gravity with Palatini dynamics.
- Authors
Bazeia, D.; Losano, L.; Menezes, R.; Olmo, Gonzalo; Rubiera-Garcia, D.
- Abstract
This work deals with modified gravity in five-dimensional space-time. We study a thick Palatini f( R) brane, that is, a braneworld scenario described by an anti-de Sitter warped geometry with a single extra dimension of infinite extent, sourced by a real scalar field under the Palatini approach, where the metric and the connection are regarded as independent degrees of freedom. We consider a first-order framework which we use to provide exact solutions for the scalar field and warp factor. We also investigate a perturbative scenario such that the Palatini approach is implemented through a Lagrangian $$f(R)=R+\epsilon R^n$$ , where the small parameter $$\epsilon $$ controls the deviation from the standard thick brane case. In both cases it is found that the warp factor tends to localize the extra dimension due to the nonlinear corrections.
- Subjects
GRAVITY; PALATINITE; SPACETIME; LAGRANGE equations; NONLINEAR analysis; PERTURBATION theory
- Publication
European Physical Journal C -- Particles & Fields, 2015, Vol 75, Issue 12, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-015-3803-0