John T Whelan et al 2000 Class. Quantum Grav. 17 4895 doi:10.1088/0264-9381/17/23/308
Quasi-stationary binary inspiral: II. Radiation-balanced boundary conditions
John T Whelan1,3, William Krivan2,4 and Richard H Price2
Show affiliationsThe quasi-stationary method for black hole binary inspiral is an approximation for studying strong-field effects while suppressing radiation reaction. In this paper we use a nonlinear scalar field toy model to: (a) explain the underlying method of approximating binary motion by periodic orbits with radiation; (b) show how the fields in such a model are found by the solution of a boundary value problem; (c) demonstrate how a good approximation to the outgoing radiation can be found by finding fields with a balance of ingoing and outgoing radiation (a generalization of standing waves).
- PACS
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04.30.Nk Wave propagation and interactions
04.70.-s Physics of black holes
02.60.Lj Ordinary and partial differential equations; boundary value problems
- MSC
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65Nxx Partial differential equations, boundary value problems
- Subjects
- Dates
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Issue 23 (7 December 2000)
Received 28 July 2000
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Quasi-stationary binary inspiral: II. Radiation-balanced boundary conditions
John T Whelan et al 2000 Class. Quantum Grav. 17 4895
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