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Title: | Second- and higher-order perturbations of a spherical spacetime |
Authors: | Brizuela, 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 Date: | 30-Aug-2006 | Publisher: | American Physical Society | Citation: | Physical Review D, 74 (4), id. 044039 (2006) | Abstract: | The 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. | Description: | 17 pags. ; A-E Appendix | Publisher version (URL): | http://dx.doi.org/10.1103/PhysRevD.74.044039 | URI: | http://hdl.handle.net/10261/12659 | DOI: | 10.1103/PhysRevD.74.044039 | ISSN: | 0556-2821 |
Appears in Collections: | (CFMAC-IEM) Artículos |
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