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Waveform propagation in black hole spacetimes: evaluating the quality of numerical solutions

L. Rezzolla·A. M. Abrahams·T. W. Baumgarte·G. B. Cook·M. A. Scheel·S. L. Shapiro·S. A. Teukolsky
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Abstract

We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system. Since the solution to this problem is well understood it represents a very good testbed for evaluating our ability to perform three dimensional computations of gravitational waves in spacetimes in which a black hole event horizon is present.

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L. Rezzolla, A. M. Abrahams, T. W. Baumgarte, G. B. Cook, M. A. Scheel, S. L. Shapiro, S. A. Teukolsky. 1997-12-08. Waveform propagation in black hole spacetimes: evaluating the quality of numerical solutions. https://doi.org/10.1103/physrevd.57.1084

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