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A Stationary Approximation to the Spacetime of a Compact Object Binary

John T. Whelan
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Abstract

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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John T. Whelan. 2000-11-13. A Stationary Approximation to the Spacetime of a Compact Object Binary. https://arxiv.org/abs/gr-qc/0011042

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