Quasi-stationary binary inspiral II: Radiation-balanced boundary conditions

Abstract

The 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 (i) to explain the underlying method of approximating binary motion by periodic orbits with radiation; (ii) to show how the fields in such a model are found by the solution of a boundary value problem; (iii) to 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).

LaTeX (uses IOP style files), 18 pages, 2 EPS figures, submitted to CQG; Two appendices added, substatial revision to introduction and conclusions

References in corpus (1)

• Transition from inspiral to plunge in binary black hole coalescences

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