The periodic standing-wave approximation: post-Minkowski computation

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dc.creatorBeetle, Christopher
dc.creatorBromley, Benjamin
dc.creatorHernández, Napoleón
dc.creatorPrice, Richard H.
dc.date2007-08-08
dc.date.accessioned2026-07-07T10:57:03Z
dc.date.available2026-07-07T10:57:03Z
dc.descriptionThe periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling motion of black holes and binary stars. Previous work on this model has dealt with nonlinear scalar models, and with linearized general relativity. Here we present the results of the method for the post-Minkowski (PM) approximation to general relativity, the first step beyond linearized gravity. We compute the PM approximation in two ways: first, via the standard approach of computing linearized gravitational fields and constructing from them quadratic driving sources for second-order fields, and second, by solving the second-order equations as an ``exact'' nonlinear system. The results of these computations have two distinct applications: (i) The computational infrastructure for the ``exact'' PM solution will be directly applicable to full general relativity. (ii) The results will allow us to begin supplying initial data to collaborators running general relativistic evolution codes.
dc.description19 pages, 3 figures, 1 table, RevTeX
dc.identifierhttps://arxiv.org/abs/0708.1141
dc.identifierhttp://arxiv.org/abs/0708.1141
dc.identifierPhys.Rev.D76:084016,2007
dc.identifierdoi:10.1103/PhysRevD.76.084016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186623
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe periodic standing-wave approximation: post-Minkowski computation
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