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Título

High-order gauge-invariant perturbations of a spherical spacetime

AutorBrizuela, David ; Martín-García, José María ; Mena Marugán, Guillermo A.
Palabras clave[PACS] Post-Newtonian approximation; perturbation theory; related approximations
[PACS] Fundamental problems and general formalism in general relativity
[PACS] Relativity and gravitation in astrophysics
Fecha de publicación10-jul-2007
EditorAmerican Physical Society
CitaciónPhysical Review D, 76 (2), id. 024004 (2007)
ResumenWe 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.
Descripción12 pags. ; appendix A-B
Versión del editorhttp://dx.doi.org/10.1103/PhysRevD.76.024004
URIhttp://hdl.handle.net/10261/12750
DOI10.1103/PhysRevD.76.024004
ISSN0556-2821
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