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Título: | Second- and higher-order perturbations of a spherical spacetime |
Autor: | Brizuela, David CSIC; Martín-García, José María CSIC; Mena Marugán, Guillermo A. CSIC ORCID | Palabras clave: | [PACS] Post-Newtonian approximation; perturbation theory; related approximations [PACS] Gravitational wave generation and sources [PACS] Relativity and gravitation in astrophysics |
Fecha de publicación: | 30-ago-2006 | Editor: | American Physical Society | Citación: | Physical Review D, 74 (4), id. 044039 (2006) | Resumen: | 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. | Descripción: | 17 pags. ; A-E Appendix | Versión del editor: | 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 |
Aparece en las colecciones: | (CFMAC-IEM) Artículos |
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Brizuela.pdf | 247,27 kB | Adobe PDF | Visualizar/Abrir |
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