Localization of gravity on a de Sitter thick braneworld without scalar fields
Abstract
In this work we present a simple thick braneworld model that is generated by an intriguing interplay between a 5D cosmological constant with a de Sitter metric induced in the 3-brane without the inclusion of scalar fields. We show that 4D gravity is localized on this brane, provide analytic expressions for the massive Kaluza-Klein (KK) fluctuation modes and also show that the spectrum of metric excitations displays a mass gap. We finally present the corrections to Newton's law due to these massive modes. This model has no naked singularities along the fifth dimension despite the existence of a mass gap in the graviton spectrum as it happens in thick branes with 4D Poincare symmetry, providing a simple model with very good features: the curvature is completely smooth along the fifth dimension, it localizes 4D gravity and the spectrum of gravity fluctuations presents a mass gap, a fact that rules out the existence of phenomenologically dangerous ultralight KK excitations in the model. We finally present our solution as a limit of scalar thick branes.
Cite
@article{arxiv.1009.1684,
title = {Localization of gravity on a de Sitter thick braneworld without scalar fields},
author = {Alfredo Herrera-Aguilar and Dagoberto Malagon-Morejon and Refugio Rigel Mora-Luna},
journal= {arXiv preprint arXiv:1009.1684},
year = {2011}
}
Comments
11 pages in latex, no figures, title and abstract changed, a new section and some references added