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A new method to integrate (2+1)-wave equations with Dirac's delta functions as sources
By Carlos O. Lousto Hiroyuki Nakano
Published in Classical and Quantum Gravity 25, 145018 (Sunday, June 29, 2008)


Unlike in the Schwarzschild black hole background, gravitational perturbations in a Kerr black hole background can not be decomposed into simple tensor harmonics in the time domain. Here, we make mode decompositions only in the azimuthal direction. As a first step, we discuss the resulting (2+1)-dimensional Klein-Gordon differential equation for scalar perturbations with a two dimensional Dirac's delta function as a source representing a point particle orbiting a much larger black hole. To make this equation amenable for numerical integrations we explicitly remove analytically the singular behavior of the source and compute a global, well bahaved, effective source for the corresponding waveform.

CCRG Authors

Lousto, Carlos O.