Braneworld Models of Scalar Fields with Generalized Dynamics.pdfVIP

Braneworld Models of Scalar Fields with Generalized Dynamics 1 2 1 1 D. Bazeia , A.R. Gomes , L. Losano and R. Menezes 1 Departamento de F´ısica, Universidade Federal da Para´ıba, 58051-970 Jo˜ao Pessoa, PB, Brazil 2Departamento de Ciˆencias Exatas, Centro Federal de Educa¸c˜ao Tecnol´ogica do Maranh˜ao, 65030-000 S˜ao Lu´ıs, MA, Brazil (Dated: August 13, 2008) This work deals with braneworld models driven by real scalar fields with nonstandard dynamics. We develop the first-order formalism for models with standard gravity but with the scalar fields having generalized dynamics. We illustrate the results with examples of current interest, and we find analytical and numerical solutions for warp factors and scalar fields. The results indicate that the generalized braneworld scenario is classically stable, and capable of localizing gravity. PACS numbers: 11.27.+d, 11.25.-w, 82.35.Cd 8 0 0 I. INTRODUCTION situations where first-order differential equations appear 2 describing the scalar field and metric functions, with the g The appearance of electromagnetism in the nineteenth potential having a very specific form [3, 4, 5]. u century has triggered a fundamental question, which cul- In recent years, there appeared some interesting mod- A minated wit