Gravitational Radiation from a Particle with Orbital Angular Momentum Plunging into a Kerr Black Hole

Details Gravitational Radiation from a Particle with Orbital Angular Momentum Plunging into a Kerr Black Hole Gravitational Radiation from a Particle with Orbital Angular Momentum Plunging into a Kerr Black Hole

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pthph..71...79k&link_type=abstract

Progress of Theoretical Physics, Vol. 71, No. 1, pp. 79-90

Physics

32

Scientific paper

Using the Sasaki-Nakamura equation, we have computed the energy, linear and angular momentum of the gravitational radiation induced by a particle of mass mu and angular momentum mu Lz plunging in an equatorial plane into a Kerr black hole of mass M (>> mu) and angular momentum Ma. It is found that the total energy Delta E ~ (mu / M) mu c(2) is emitted by the particle with sufficient large orbital angular momentum. For the same value of |Lz|, a corotating particle emits more energy than a counter-rotating one. We have also calculated the energy from a rotating ring plunging into a Kerr black hole. In this case, we have found that a corotating ring emits less gravitational energy than a counter-rotating one for the same |Lz|. The maximum of the linear momentum is 6 x 10(-2) (mu / M) mu c, which suggests the recoil velocity of the coalesced black hole is 160 km/s for mu = 0.1 M.

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