High-order gauge-invariant perturbations of a spherical spacetime
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We complete the formulation of a general framework for the analysis of high-order nonspherical perturbations of a four-dimensional spherical spacetime by including a gauge-invariant description of the perturbations. We present a general algorithm to construct these invariants and provide explicit formulas for the case of second-order metric perturbations. We show that the well-known problem of lack of invariance for the first-order perturbations with l=0,1 propagates to increasing values of l for perturbations of higher order, owing to mode coupling. We also discuss in which circumstances it is possible to construct the invariants.
Keywords
Cite
@article{arxiv.gr-qc/0703069,
title = {High-order gauge-invariant perturbations of a spherical spacetime},
author = {David Brizuela and Jose M. Martin-Garcia and Guillermo A. Mena Marugan},
journal= {arXiv preprint arXiv:gr-qc/0703069},
year = {2008}
}