Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phrvd..12.2183d&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 12, Oct. 15, 1975, p. 2183-2199. Research supported by the Science Re
Astronomy and Astrophysics
Astronomy
66
Black Holes (Astronomy), Equations Of Motion, Gravitational Effects, Perturbation Theory, Rotating Bodies, Asymptotic Series, Celestial Mechanics, Einstein Equations, Newton Theory, Relativity
Scientific paper
The interaction of two black holes is considered under the assumptions that each black hole moves in the far field of the other and that the relative velocity is small compared to the speed of light. The black holes may rotate and possess comparable masses. A previously developed method of matched asymptotic expansions is used to relate the gravitational field far from the black holes (described by a slow-motion perturbation of flat space) to the gravitational field near the holes (described by perturbations of the Kerr geometry). This leads to equations of motion and spin propagation giving the main deviations from Newtonian behavior. The derivation employs only the Einstein vacuum equations, and the resulting equations are generalizations of well-known expressions for the interaction of massive or rotating bodies in general relativity.
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