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

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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: https://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.