A fourth order convergent numerical algorithm to integrate nonrotating binary black hole perturbations in the extreme mass ratio limit

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  • 1 March 2005
Abstract
We obtain a fourth order accurate numerical algorithm to integrate the Zerilli and Regge-Wheeler wave equations, describing perturbations of nonrotating black holes, with source terms due to an orbiting particle. Those source terms contain Dirac's delta and its first derivative. We also rederive the source of the Zerilli and Regge-Wheeler equations for more convenient definitions of the waveforms, that allow direct metric reconstruction (in the Regge-Wheeler gauge)

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