Frans Pretorius 2006 Class. Quantum Grav. 23 S529 doi:10.1088/0264-9381/23/16/S13
Frans Pretorius
Show affiliationsA numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details which are not provided before in the literature and which are of particular relevance to the binary black hole problem. This includes demonstrations of the effectiveness of constraint damping, and how the time slicing can be controlled through the use of a source function evolution equation. In addition, some results from an ongoing study of binary black hole coalescence, where the black holes are formed via scalar field collapse, are shown. Scalar fields offer a convenient route to exploring certain aspects of black hole interactions, and one interesting though tentative suggestion from this early study is that behaviour reminiscent of 'zoom-whirl' orbits in particle trajectories is also present in the merger of equal mass, non-spinning binaries, with appropriately fine-tuned initial conditions.
04.70.-s Physics of black holes
04.20.Gz Spacetime topology, causal structure, spinor structure
83C75 Space-time singularities, cosmic censorship, etc.
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 16 (21 August 2006)
Received 1 March 2006
Published 27 July 2006
Frans Pretorius 2006 Class. Quantum Grav. 23 S529
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