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Title

High-order gauge-invariant perturbations of a spherical spacetime

AuthorsBrizuela, David ; Martín-García, José María ; Mena Marugán, Guillermo A.
Issue Date2007
PublisherInstitute of Physics Publishing
CitationJournal of Physics: Conference Series 66, 012011 (2007)
AbstractWe construct a covariant and gauge-invariant framework to deal with arbitrary high-order perturbations of a spherical spacetime. It can be regarded as the generalization to high orders of the Gerlach and Sengupta formalism for first-order nonspherical perturbations. The Regge-Wheeler-Zerilli harmonics are generalized to an arbitrary number of indices and a closed formula is deduced for their products. An iterative procedure is given in order to construct gauge-invariant quantities up to any perturbative order. Focusing on second-order perturbation theory, we explicitly compute the sources for the gauge invariants as well as for the evolution equations.
Description10 pags.; XXIXth Spanish Relativity Meeting (ERE 2006): Einsteis's legacy: from the theorethical paradise to astrophysical observations. 4–8 September 2006, Palma de Mallorca, Spain
Publisher version (URL)http://dx.doi.org/ 10.1088/1742-6596/66/1/012011
URIhttp://hdl.handle.net/10261/15053
DOI10.1088/1742-6596/66/1/012011
ISSN1742-6596
Appears in Collections:(CFMAC-IFF) Artículos
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