Eur. Phys. J. C (2008) 55: 337-342
https://doi.org/10.1140/epjc/s10052-008-0577-7

Regular Article - Theoretical Physics

Gauss–Codazzi formalism to brane-world within Brans–Dicke theory

¹ Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SP, Brazil
² Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza, s/n, 24210-346, Niterói, RJ, Brazil

^* e-mail: emilia@if.uff.br

Received: 15 January 2008
Revised: 20 February 2008
Published online: 15 April 2008

Abstract

We apply the Gauss–Codazzi formalism to brane-worlds within the framework of Brans–Dicke gravity. The compactification is taken from six to five dimensions in order to formalize brane-world models with hybrid compactification in scalar tensor theories.