Computer Science
Scientific paper
Oct 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phdt.........1b&link_type=abstract
Thesis (PhD). THE PENNSYLVANIA STATE UNIVERSITY, Source DAI-B 60/07, p. 3324, Jan 2000, 100 pages.
Computer Science
1
Gravitational Radiation
Scientific paper
In this work we consider the binary black hole collision problem by modelling the collision as a perturbation of the final stationary black hole space-time. We first study head-on collisions of black holes with initial momentum or angular momentum as a perturbation of a spherically symmetric Schwarzschild black hole, the Close-Slow approximation. The results agree surprisingly well with numerical solutions of the exact Einstein equations, where such calculations are available for comparison and our linear treatment allows some interpretation of the results which is unavailable in the numerical calculations. Building on this, we examine a ``two-phase'' approximation which uses a combination of Newtonian limit and Close-slow approximation results to estimate the radiation energies for collisions from distant infall, showing that the estimate result is somewhat independent of how the two approximations are joined. Then, working toward the goal of performing similar perturbation treatments of black hole collisions with significant final angular momentum, we also consider the problem of determining initial values for the Teukolsky function which governs perturbations of rotating black holes. Toward this aim, we show how the Teukolsky function can be calculated from information about the initial perturbations of the metric and extrinsic curvature and then describe a proposal for deriving axisymmetric two black hole initial data with non-trivial angular momentum within the framework of a novel local solution of general relativity's constraint equations.
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