Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nyasa.631..137b&link_type=abstract
(Nonlinear problems in relativity and cosmology; Proceedings of the 6th Florida Workshop in Nonlinear Astronomy, Gainesville, Oc
Astronomy and Astrophysics
Astronomy
Angular Momentum, Black Holes (Astronomy), Gravitational Waves, Relativity, Secular Variations, Einstein Equations, Quadrupoles, Steady State, Variational Principles
Scientific paper
A novel approach to the study of the dynamical system of two black holes is outlined. If the gravitational radiation reaction time scale is long enough, then two orbiting black holes can be approximated by a geometry that is unchanging in a rotation frame of reference. A Killing vector field is assumed to exist over a finite region of the spacetime. A variational principle is found for the total mass of the binary system, and the binding energy is used to study the stability of the close orbits, the emission of gravitational waves, and the secular evolution of the system. For holes of equal mass starting at infinite separation, about 3 percent of the initial mass is emitted as gravitational radiation, while the evolutionary time scale is long compared with the dynamical time scale. If the final angular momentum is less than the square of the total mass of the system, the system settles down into a single axisymmetric Kerr black hole.
Blackburn James Kent
Detweiler Steven
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