A Stationary Approximation to the Spacetime of a Compact Object Binary

Details A Stationary Approximation to the Spacetime of a Compact Object Binary A Stationary Approximation to the Spacetime of a Compact Object Binary

2000-11-13

arxiv.org/abs/gr-qc/0011042v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX, no figures; to appear in the Proceedings of the Conference on Gravitational Waves: A Challenge to Theoretical

Scientific paper

The gravitational-radiation-induced inspiral of a binary system of compact objects is considered. A scheme is described to model the regime in which the gravitational interaction is too strong to use weak-field approximation methods, but the time scale for decay of the orbits is still long compared to the orbital period, by numerically solving for a stationary spacetime which approximates the slowly evolving one. Equilibrium is to be maintained in the radiating system by imposing a balance of incoming and outgoing radiation at large distances. Numerical results from non-linear scalar field theory have shown that such an approach can be effective modelling a slowly evolving solution to a wave equation.

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