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arXiv · 0810.1929

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

Anil Zenginoglu·Dario Nunez·Sascha Husa
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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.

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Anil Zenginoglu, Dario Nunez, Sascha Husa. 2008-10-10. Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem. https://doi.org/10.1088/0264-9381%2F26%2F3%2F035009

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