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Thick brane in f(R) gravity with Palatini dynamics

D. Bazeia, L. Losano, R. Menezes, G. J. Olmo, D. Rubiera-Garcia

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

The European Physical Journal C
Volume 75, Article 569
2015 November

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia