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arXiv · 1703.00029

Evolutions of Gowdy, Brill and Teukolsky initial data on a smooth lattice

Leo Brewin
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Abstract

Numerical results, based on a lattice method for computational general relativity, will be presented for Cauchy evolution of initial data for the Brill, Teukolsky and polarised Gowdy space-times. The simple objective of this paper is to demonstrate that the lattice method can, at least for these space-times, match results obtained from contemporary methods. Some of the issues addressed in this paper include the handling of axisymmetric instabilities (in the Brill space-time) and an implementation of a Sommerfeld radiation condition for the Brill and Teukolsky space-times. It will be shown that the lattice method performs particularly well in regard to the passage of the waves through the outer boundary. Questions concerning multiple black-holes, mesh refinement and long term stability will not be discussed here but may form the basis of future work.

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Leo Brewin. 2017-02-28. Evolutions of Gowdy, Brill and Teukolsky initial data on a smooth lattice. https://doi.org/10.1103/physrevd.96.024037

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