Higher Order Perturbations Around Backgrounds with One Non-Homogeneous Dimension
Abstract
It is shown that perturbations around backgrounds with one non-homogeneous dimension, namely of co-homogeneity 1, can be canonically simplified, a property that is shown to hold to any order in perturbation theory. Recalling that the problem naturally reduces to 1d, a procedure is described whereby for each gauge function in 1d two 1d fields are eliminated from the action - one is gauge and can be eliminated without a constraint and the other is auxiliary. These results generalize the results of hep-th/0609001 from linear to non-linear perturbations and they unify two cases of physical interest: cosmological perturbations and perturbations to static spherically symmetric backgrounds. An application to black strings is discussed in some detail.
Cite
@article{arxiv.0709.3254,
title = {Higher Order Perturbations Around Backgrounds with One Non-Homogeneous Dimension},
author = {Barak Kol},
journal= {arXiv preprint arXiv:0709.3254},
year = {2007}
}
Comments
10 pages, 1 figure. This paper is not intended to be submitted to a refereed journal as explained at the end of the introduction