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High-order gauge-invariant perturbations of a spherical spacetime

AuthorsBrizuela, David ; Martín-García, José María ; Mena Marugán, Guillermo A.
Keywords[PACS] Post-Newtonian approximation; perturbation theory; related approximations
[PACS] Fundamental problems and general formalism in general relativity
[PACS] Relativity and gravitation in astrophysics
Issue Date10-Jul-2007
PublisherAmerican Physical Society
CitationPhysical Review D, 76 (2), id. 024004 (2007)
AbstractWe 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 /=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.
Description12 pags. ; appendix A-B
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevD.76.024004
Appears in Collections:(CFMAC-IEM) Artículos
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