Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem

Details Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem

2008-10-10

arxiv.org/abs/0810.1929v1

Class.Quant.Grav.26:035009,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 9 figures

Scientific paper

10.1088/0264-9381/26/3/035009

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.

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