Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-08-26
Phys.Rev.D56:6298-6309,1997
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, 4 figures. To appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.56.6298
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 worldtube 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 $N_{\times}$ 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 $10^{13}M_{\odot}/sec$.
Bishop Nigel T.
Go'mez Roberto
Lehner Luis
Maharaj Manoj
Winicour Jeffrey
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