Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-01-30
Class.Quant.Grav.26:114005,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages, 5 figures. Minor changes to match published version. Added figure 5 right panel
Scientific paper
10.1088/0264-9381/26/11/114005
We have recently presented an investigation in full general relativity of the dynamics and gravitational-wave emission from binary neutron stars which inspiral and merge, producing a black hole surrounded by a torus (see arXiv:0804.0594). We here discuss in more detail the convergence properties of the results presented in arXiv:0804.0594 and, in particular, the deterioration of the convergence rate at the merger and during the survival of the merged object, when strong shocks are formed and turbulence develops. We also show that physically reasonable and numerically convergent results obtained at low-resolution suffer however from large truncation errors and hence are of little physical use. We summarize our findings in an "error budget", which includes the different sources of possible inaccuracies we have investigated and provides a first quantitative assessment of the precision in the modelling of compact fluid binaries.
Baiotti Luca
Giacomazzo Bruno
Rezzolla Luciano
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