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Abstract
In this work, we investigate the presence of thick branes modeled by a single scalar field with Born–Infeld-like dynamics. We consider the 4-dimensional metric being Minkowski, de Sitter or anti-de Sitter. We obtain the field equations and the conditions to get a first order formalism compatible with them. To illustrate our procedure, some specific models are presented. They support localized warp factor and have their properties controlled by the 4-dimensional cosmological constant. In particular, a hybrid brane may arise, with a thick or thin profile depending on the extra dimension being inside or outside a compact space.
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1 Universidade Federal de Pernambuco, Núcleo de Formação de Docentes, Caruaru, Brazil (GRID:grid.411227.3) (ISNI:0000 0001 0670 7996)
2 Universidade Federal da Paraíba, Departamento de Biotecnologia, João Pessoa, Brazil (GRID:grid.411216.1) (ISNI:0000 0004 0397 5145)
3 Universidade Federal da Paraíba, Departamento de Ciências Exatas, Rio Tinto, Brazil (GRID:grid.411216.1) (ISNI:0000 0004 0397 5145)