Dynamical Instabilities of the Randall-Sundrum Model
High Energy Physics - Theory
2012-10-23 v2 Astrophysics
General Relativity and Quantum Cosmology
Abstract
We derive dynamical equations to describe a single 3-brane containing fluid matter and a scalar field coupling to the dilaton and the gravitational field in a five dimensional bulk. First, we show that a scalar field or an arbitrary fluid on the brane cannot evolve to cancel the cosmological constant in the bulk. Then we show that the Randall-Sundrum model is unstable under small deviations from the fine-tuning between the brane tension and the bulk cosmological constant and even under homogeneous gravitational perturbations. Implications for brane world cosmologies are discussed.
Cite
@article{arxiv.hep-th/0102144,
title = {Dynamical Instabilities of the Randall-Sundrum Model},
author = {Timon Boehm and Ruth Durrer and Carsten van de Bruck},
journal= {arXiv preprint arXiv:hep-th/0102144},
year = {2012}
}
Comments
12 pages, 2 figures