The Equations of Motion of Compact Binaries in the Neighborhood of Supermassive Black Hole

Journal Article · Wed Mar 24 04:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3382338· OSTI ID:21371330

Gorbatsievich, Alexander; Bobrik, Alexey ^[1]

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1. Belarusian state university, Nezavisimosti Av., 4, 220030 Minsk (Belarus)

By the use of Einstein-Infeld-Hoffmann method, the equations of motion of a binary star system in the field of a supermassive black hole are derived. In spite of the fact that the motion of a binary system as a whole can be relativistic or even ultra-relativistic with respect to the supermassive black hole, it is shown, that under the assumption of non-relativistic relative motion of the stars in binary system, the motion of the binary system as a whole satisfies the Mathisson-Papapetrou equations with additional terms depending on quadrupole moments. Exemplary case of ultrarelativistic motion of a binary neutron star in the vicinity of non-rotating black hole is considered. It it shown that the motion of binary's center of mass may considerably differ from geodesic motion.

• OSTI ID: 21371330
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1205; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ASTROPHYSICS
BINARY STARS
BLACK HOLES
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
GEODESICS
NEUTRON STARS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICS
QUADRUPOLE MOMENTS
RELATIVISTIC RANGE
STARS