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arXiv · 0910.3656

The Asymptotic Falloff of Local Waveform Measurements in Numerical Relativity

Denis Pollney·Christian Reisswig·Nils Dorband·Erik Schnetter·Peter Diener
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Abstract

We examine current numerical relativity computations of gravitational waves, which typically determine the asymptotic waves at infinity by extrapolation from finite (small) radii. Using simulations of a black hole binary with accurate wave extraction at $r=1000M$, we show that extrapolations from the near-zone are self-consistent in approximating measurements at this radius, although with a somewhat reduced accuracy. We verify that $ψ_4$ is the dominant asymptotic contribution to the gravitational energy (as required by the peeling theorem) but point out that gauge effects may complicate the interpretation of the other Weyl components.

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Denis Pollney, Christian Reisswig, Nils Dorband, Erik Schnetter, Peter Diener. 2009-10-19. The Asymptotic Falloff of Local Waveform Measurements in Numerical Relativity. https://doi.org/10.1103/physrevd.80.121502

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