We present a high-order scheme for solving the full non-linear Einstein equations on characteristic null hypersurfaces using the framework established by Bondi and Sachs. This formalism allows ...asymptotically flat spaces to be represented on a finite, compactified grid, and is thus ideal for far-field studies of gravitational radiation. We have designed an algorithm based on 4th-order radial integration and finite differencing, and a spectral representation of angular components. Consequently the scheme offers more accuracy at a given computational cost compared to previous methods which are second-order accurate. Based on a newly implemented code, we show that the new numerical scheme remains stable and is convergent at the expected order of accuracy.
Final spin from the coalescence of two black holes Rezzolla, Luciano; Barausse, Enrico; Dorband, Ernst Nils ...
Physical review. D, Particles, fields, gravitation, and cosmology,
08/2008, Letnik:
78, Številka:
4
Journal Article
Binary black hole systems with spins aligned with the orbital angular momentum are of special interest, as they may be the preferred end state of the inspiral of generic supermassive binary black ...hole systems. In view of this, we have computed the inspiral and merger of a large set of binary systems of equal-mass black holes with spins aligned with the orbital angular momentum but otherwise arbitrary. By least-square fitting the results of these simulations, we have constructed two 'spin diagrams' which provide straightforward information about the recoil velocity image and the final black hole spin image in terms of the dimensionless spins image and image of the two initial black holes. Overall, they suggest a maximum recoil velocity of image km s super(-1), and minimum and maximum final spins image and image, respectively.
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