Am. Abrahams et Gb. Cook, COLLISIONS OF BOOSTED BLACK-HOLES - PERTURBATION-THEORY PREDICTION OFGRAVITATIONAL-RADIATION, Physical review. D. Particles and fields, 50(4), 1994, pp. 2364-2367
We consider general relativistic Cauchy data representing two nonspinn
ing, equal-mass black holes boosted toward each other, When the black
holes are close enough to catch other and their momentum is Sufficient
ly high, an encompassing apparent horizon is present so the system can
be viewed as a single, perturbed black hole. We employ gauge-invarian
t perturbation theory and integrate the Zerilli equation to analyze th
ese time-asymmetric data sets and compute gravitational waveforms and
emitted energies. When coupled with a simple Newtonian analysis of the
infall trajectory, we find striking agreement between the perturbatio
n calculation of emitted energies and the results of fully general rel
ativistic numerical simulations of time-symmetric initial data.