Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-07-20
Phys.Rev.D76:081503,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 4 figures. Uses improved smoothing procedure for initial data. A free turduckening implementation is available from t
Scientific paper
10.1103/PhysRevD.76.081503
to turducken (turduckens, turduckening, turduckened, turduckened) [math.]: To stuff a black hole. We analyze and apply an alternative to black hole excision based on smoothing the interior of black holes with arbitrary - possibly constraint violating - initial data, and solving the vacuum Einstein evolution equations everywhere. By deriving the constraint propagation system for our hyperbolic formulation of the BSSN evolution system we rigorously prove that the constraints propagate causally and so any constraint violations introduced inside the black holes cannot affect the exterior spacetime. (This does not follow from the causal structure of the spacetime as is often assumed.) We present numerical evolutions of Cook-Pfeiffer binary black hole initial configurations showing that these techniques appear to work robustly for generic data. We also present numerical evidence from spherically symmetric evolutions that for the gauge conditions used the same stationary end-state is approached irrespective of the choice of initial data and smoothing procedure.
Brown David
Diener Peter
Hawke Ian
Pollney Denis
Sarbach Olivier
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