Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-09-30
Phys.Rev. D70 (2004) 064001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages RevTeX, 5 figures. New version. A revised form of the nonlinearity produces better results
Scientific paper
10.1103/PhysRevD.70.064001
The periodic standing-wave method for binary inspiral computes the exact numerical solution for periodic binary motion with standing gravitational waves, and uses it as an approximation to slow binary inspiral with outgoing waves. Important features of this method presented here are: (i) the mathematical nature of the ``mixed'' partial differential equations to be solved, (ii) the meaning of standing waves in the method, (iii) computational difficulties, and (iv) the ``effective linearity'' that ultimately justifies the approximation. The method is applied to three dimensional nonlinear scalar model problems, and the numerical results are used to demonstrate extraction of the outgoing solution from the standing-wave solution, and the role of effective linearity.
Andrade Zeferino
Beetle Christopher
Blinov Alexey
Bromley Benjamin
Burko Lior M.
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