2024-03-28T18:49:05Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/126592016-02-16T04:53:15Zcom_10261_135com_10261_4col_10261_388
Brizuela, David
Martín-García, José María
Mena Marugán, Guillermo A.
2009-04-29T08:15:09Z
2009-04-29T08:15:09Z
2006-08-30
Physical Review D, 74 (4), id. 044039 (2006)
0556-2821
http://hdl.handle.net/10261/12659
10.1103/PhysRevD.74.044039
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.
eng
openAccess
[PACS] Post-Newtonian approximation; perturbation theory; related approximations
[PACS] Gravitational wave generation and sources
[PACS] Relativity and gravitation in astrophysics
Second- and higher-order perturbations of a spherical spacetime
artículo