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

Zenginoglu, Anil; Nunez, Dario; Husa, Sascha

doi:10.1088/0264-9381/26/3/035009

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

MPS-Authors

Zenginoglu, Anil
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Nunez, Dario
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Husa, Sascha
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg9_3_035009.pdf
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0810.1929v1.pdf
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Citation

Zenginoglu, A., Nunez, D., & Husa, S. (2009). Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem. Classical and Quantum Gravity, 26(3): 035009. doi:10.1088/0264-9381/26/3/035009.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4544-F

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.