Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem
arXiv:0810.1929 · doi:10.1088/0264-9381/26/3/035009
Abstract
We study gravitational perturbations of Schwarzschild spacetime by solving a hyperboloidal initial value problem for the Bardeen-Press equation. Compactification along hyperboloidal surfaces in a scri-fixing gauge allows us to have access to the gravitational waveform at null infinity in a general setup. We argue that this hyperboloidal approach leads to a more accurate and efficient calculation of the radiation signal than the common approach where a timelike outer boundary is introduced. The method can be generalized to study perturbations of Kerr spacetime using the Teukolsky equation.
arXiv comment14 pages, 9 figures
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