Statistics – Applications
Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..18..990d&link_type=abstract
Physical Review - Particles and Fields, 3rd Series, vol. 18, Aug. 15, 1978, p. 990-1019.
Statistics
Applications
35
Black Holes (Astronomy), Gravitational Waves, Relativistic Velocity, Applications Of Mathematics, Collision Parameters, Gravitational Fields, Lorentz Contraction, Perturbation Theory, Relativistic Effects, Shock Fronts, Space-Time Functions, Tensors
Scientific paper
It is shown how certain parts of any space-time formed by the high-speed collision or encounter of two black holes with comparable masses can be described using perturbation methods. When the impact parameter is of the order mu x gamma or larger (where mu is energy and gamma is a typical Lorentz factor measured in a center-of-mass frame), so that there is a fairly distant encounter, essentially all of the space-time geometry can be analyzed by perturbation theory. But even when the impact parameter is comparable to the energy mu, so that there is a highly nonlinear collision, useful information about the space-time can be extracted from a description of the shock regions which form the boundary of the strong-field interaction zone. These shock regions are analyzed for the special case of an axisymmetric collision with zero impact parameter. The most significant result of this treatment is the calculation of gravitational radiation emitted near the forward and backward directions, found by considering the evolution of the far-field shocks after they have distorted each other during their interaction.
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