Towards a novel wave-extraction method for numerical relativity

A. Nerozzi, Marco Bruni, L. Burko, V. Re

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We present the recent results of a research project aimed at constructing a robust wave extraction technique for numerical relativity. Our procedure makes use of Weyl scalars to achieve wave extraction. It is well known that, with a correct choice of null tetrad, Weyl scalars are directly associated to physical properties of the space‐time under analysis in some well understood way. In particular it is possible to associate Ψ4 with the outgoing gravitational radiation degrees of freedom, thus making it a promising tool for numerical wave‐extraction. The right choice of the tetrad is, however, the problem to be addressed. We have made progress towards identifying a general procedure for choosing this tetrad, by looking at transverse tetrads where Ψ1 = Ψ3 = 0. As a direct application of these concepts, we present a numerical study of the evolution of a non‐linearly disturbed black hole described by the Bondi‐Sachs metric. This particular scenario allows us to compare the results coming from Weyl scalars with the results coming from the news function which, in this particular case, is directly associated with the radiative degrees of freedom. We show that, if we did not take particular care in choosing the right tetrad, we would end up with incorrect results.
Original languageEnglish
Number of pages6
Publication statusPublished - 2006
EventAlbert Einstein Century International Conference - Paris, France
Duration: 18 Jul 200522 Jul 2005


ConferenceAlbert Einstein Century International Conference


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