Understanding Initial Data for Black Hole Collisions

Details Understanding Initial Data for Black Hole Collisions Understanding Initial Data for Black Hole Collisions

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.483l&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

Numerical relativity codes now being developed will evolve initial data representing colliding black holes at relatively late stages. The choice of initial data used for code development has been made on the basis of mathematical definitiveness and usefulness for computational implementation. By using the ``particle limit'' (extreme ratio of masses) we show that the standard choice (due to Bowen and York) is not a good representation of astrophysically generated initial data. We find that the discrepancy in the extrinsic curvature is more important than in the 3-geometry. For the particle limit, there is a simple alternative choice giving excellent results. That choice, ``convective'' initial data is, equivalent to a time sequence of parameterized solutions of the Hamiltonian constraint; for a particle in circular orbit, it is the initial data of the steady state solution on any hypersurface. The implementation for equal mass holes is discussed.

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