Gravitational waveforms with controlled accuracy

Details Gravitational waveforms with controlled accuracy Gravitational waveforms with controlled accuracy

2001-03-05

arxiv.org/abs/gr-qc/0103011v2

Phys.Rev. D64 (2001) 024007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revised version, published in Phys. Rev. D, RevTeX, 16 pages, 4 figures

Scientific paper

10.1103/PhysRevD.64.024007

A partially first-order form of the characteristic formulation is introduced to control the accuracy in the computation of gravitational waveforms produced by highly distorted single black hole spacetimes. Our approach is to reduce the system of equations to first-order differential form on the angular derivatives, while retaining the proven radial and time integration schemes of the standard characteristic formulation. This results in significantly improved accuracy over the standard mixed-order approach in the extremely nonlinear post-merger regime of binary black hole collisions.

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