Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-08
JHEP 0312 (2003) 029
Physics
High Energy Physics
High Energy Physics - Theory
published version
Scientific paper
10.1088/1126-6708/2003/12/029
We investigate maximally symmetric brane world solutions with a scalar field. Five-dimensional bulk gravity is described by a general lagrangian which yields field equations containing no higher than second order derivatives. This includes the Gauss-Bonnet combination for the graviton. Stability and gravitational properties of such solutions are considered, and we particularily emphasise the modifications induced by the higher order terms. In particular it is shown that higher curvature corrections to Einstein theory can give rise to instabilities in brane world solutions. A method for analytically obtaining the general solution for such actions is outlined. Genericaly, the requirement of a finite volume element together with the absence of a naked singularity in the bulk imposes fine-tuning of the brane tension. A model with a moduli scalar field is analysed in detail and we address questions of instability and non-singular self-tuning solutions. In particular, we discuss a case with a normalisable zero mode but infinite volume element.
Charmousis Christos
Davis Stephen C.
Dufaux Jean Francois
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