Carlos O Lousto and Hiroyuki Nakano 2008 Class. Quantum Grav. 25 145018 doi:10.1088/0264-9381/25/14/145018
Carlos O Lousto and Hiroyuki Nakano
Show affiliationsUnlike in the Schwarzschild black hole background, gravitational perturbations in a Kerr black hole background cannot 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 δ-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-behaved, effective source for the corresponding waveform.
Issue 14 (21 July 2008)
Received 29 February 2008, in final form 21 May 2008
Published 30 June 2008
Carlos O Lousto and Hiroyuki Nakano 2008 Class. Quantum Grav. 25 145018
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