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Phys. Rev. D 56, 6298–6309 (1997)

High-powered gravitational news

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Nigel T. Bishop1, Roberto Gómez2, Luis Lehner2, Manoj Maharaj3, and Jeffrey Winicour2
1Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa
2Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
3Department of Mathematics and Applied Mathematics, University of Durban-Westville, Durban 4000, South Africa

Received 8 May 1997; published in the issue dated 15 November 1997

We describe the computation of the Bondi news for gravitational radiation. We have implemented a computer code for this problem. We discuss the theory behind it as well as the results of validation tests. Our approach uses the compactified null cone formalism, with the computational domain extending to future null infinity and with a world tube as inner boundary. We calculate the appropriate full Einstein equations in computational eth form in (a) the interior of the computational domain and (b) on the inner boundary. At future null infinity, we transform the computed data into standard Bondi coordinates and so are able to express the news in terms of its standard N+ and N× polarization components. The resulting code is stable and second-order convergent. It runs successfully even in the highly nonlinear case, and has been tested with the news as high as 400, which represents a gravitational radiation power of about 1013M/sec.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.56.6298
DOI:
10.1103/PhysRevD.56.6298
PACS:
04.25.Dm, 04.20.Ha, 04.30.Db