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Title

Second- and higher-order perturbations of a spherical spacetime

AuthorsBrizuela, David CSIC; Martín-García, José María CSIC; Mena Marugán, Guillermo A. CSIC ORCID
Keywords[PACS] Post-Newtonian approximation; perturbation theory; related approximations
[PACS] Gravitational wave generation and sources
[PACS] Relativity and gravitation in astrophysics
Issue Date30-Aug-2006
PublisherAmerican Physical Society
CitationPhysical Review D, 74 (4), id. 044039 (2006)
AbstractThe Gerlach and Sengupta (GS) formalism of coordinate-invariant, first-order, spherical and nonspherical perturbations around an arbitrary spherical spacetime is generalized to higher orders, focusing on second-order perturbation theory. The GS harmonics are generalized to an arbitrary number of indices on the unit sphere and a formula is given for their products. The formalism is optimized for its implementation in a computer-algebra system, something that becomes essential in practice given the size and complexity of the equations. All evolution equations for the second-order perturbations, as well as the conservation equations for the energy-momentum tensor at this perturbation order, are given in covariant form, in Regge-Wheeler gauge.
Description17 pags. ; A-E Appendix
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevD.74.044039
URIhttp://hdl.handle.net/10261/12659
DOI10.1103/PhysRevD.74.044039
ISSN0556-2821
Appears in Collections:(CFMAC-IEM) Artículos

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