Quasi-stationary binary inspiral: II

doi:10.1088/0264-9381/17/23/308

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

John T Whelan et al 2000 Class. Quantum Grav. 17 4895-4911 doi: 10.1088/0264-9381/17/23/308

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John T Whelan^1,3, William Krivan^2,4 and Richard H Price²
¹ Institut für theoretische Physik, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
² Department of Physics, University of Utah, Salt Lake City, UT 84112, USA
³ Current address: Department of Physical Sciences, The University of Texas at Brownsville, 80 Fort Brown, Brownsville, TX 78520, USA.
⁴ Current address: Center for Genomics Research, Karolinska Institutet, Berzelius väg 37, 17177 Stockholm, Sweden.
E-mail: jtwhelan@utb1.utb.edu

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 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 numbers: 0260L, 0430D, 0420, 0425D

Print publication: Issue 23 (7 December 2000)
Received 28 July 2000

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

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