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The close limit from a null point of view: The advanced solution

MPS-Authors

Campanelli,  Manuela
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;

Winicour,  Jeffrey
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Campanelli, M., Gomez, R., Husa, S., Winicour, J., & Zlochower, Y. (2001). The close limit from a null point of view: The advanced solution. Physical Review D, 63(12): 124013.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5591-F
Abstract
We present a characteristic algorithm for computing the perturbation of a Schwarzschild spacetime by means of solving the Teukolsky equation. We implement the algorithm as a characteristic evolution code and apply it to compute the advanced solution to a black hole collision in the close approximation. The code successfully tracks the initial burst and quasinormal decay of a black hole perturbation through 10 orders of magnitude and tracks the final power law decay through an additional 6 orders of magnitude. Determination of the advanced solution, in which ingoing radiation is absorbed by the black hole but no outgoing radiation is emitted, is the first stage of a two stage approach to determining the retarded solution, which provides the close approximation waveform with the physically appropriate boundary condition of no ingoing radiation.