Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..591b&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, Sept. 11, 1984, p. 591-610. NSF-supported research.
Astronomy and Astrophysics
Astronomy
11
Black Holes (Astronomy), Spin Dynamics, Angular Momentum, Convergence, Curvature, Energy Distribution
Scientific paper
The extrinsic curvature on an initial spacelike hypersurface of two black holes with axisymmetric parallel spins is derived in terms of an analytic infinite series. This curvature constitutes an important piece of the initial data required to solve completely the Cauchy problem of a head-on collision of two holes with spin. The extrinsic curvature is constructed so that the resulting spacetime will have the topology of two Einstein-Rosen bridges; a physical equivalence of the top and bottom sheets of the initial hypersurface is also built in. It is shown that the spins of the two black holes may be freely specified. Sample numerical evaluations indicating that the series, for reasonable configurations, converges rapidly and hence is amenable to numerical work are shown, and the appropriate numerical problem is posed to obtain the rest of the initial data.
Bowen Jason
Rauber J.
York James W. Jr.
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