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

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.

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Zenginoglu, Anil1, Author
Nunez, Dario1, Author
Husa, Sascha1, Author           
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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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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 Dates: 2009-01-13
 Publication Status: Issued
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 Identifiers: eDoc: 378613
Other: arXiv:0810.1929v1 [gr-qc]
URI: http://arxiv.org/abs/0810.1929
DOI: 10.1088/0264-9381/26/3/035009
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 26 (3) Sequence Number: 035009 Start / End Page: - Identifier: -