Linear momentum and gravitational waves - Circular orbits around a Schwarzschild black hole

Details Linear momentum and gravitational waves - Circular orbits around a Schwarzschild black hole Linear momentum and gravitational waves - Circular orbits around a Schwarzschild black hole

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mnras.211..933f&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 211, Dec. 15, 1984, p. 933-942. Research supported by t

Astronomy and Astrophysics

Astronomy

60

Black Holes (Astronomy), Gravitational Waves, Momentum Theory, Schwarzschild Metric, Circular Orbits, Einstein Equations, Geodesy, Perturbation Theory, Spherical Harmonics

Scientific paper

Perturbation theory is used to calculate the linear momentum flux in the gravitational waves emitted by a test particle moving on a circular geodesic in the Schwarzschild geometry. Comparisons with previous quasi-Newtonian calculations show good agreement when the radius of the test particle orbit is large and indicate that the quasi-Newtonian approach underestimates the linear momentum flux for smaller orbits. An estimate is made of the recoil velocity induced by a particle plunging into the black hole from the last stable circular orbit.

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