Gravitational Waves from a Particle Scattered by a Schwarzschild Black Hole

Details Gravitational Waves from a Particle Scattered by a Schwarzschild Black Hole Gravitational Waves from a Particle Scattered by a Schwarzschild Black Hole

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pthph..71...91o&link_type=abstract

Progress of Theoretical Physics, Vol. 71, No. 1, pp. 91-99

Physics

17

Scientific paper

Using the generalized Regge-Wheeler equation, we have computed the gravitational radiation emitted by a particle of mass mu with orbital angular momentum mu Lz (Lz > 4 (GM / c(2) ) c) and the total energy mu c(2) scattered by a Schwarzschild black hole of mass M ( >> mu). It is found that contrary to plunging cases (Lz < 4 (GM / c(2) ) c), the quasi-normal mode is not excited even when the periastron approaches the limiting value 4 (GM /c(2) ). The total energy for Lz = 4.1 (GM / c(2) )c is 1.24 x 10(-1) (mu /M)mu c(2) which is smaller than that for Lz = 3.9 (GM/ c(2) )c, 5.49 x 10(-1) (mu / M) mu c(2) . The peak of the energy spectrum is not determined by the quasi-normal mode but by the angular velocity of the particle at the periastron. We have also calculated the energy from a rotating ring scattered by the black hole. In this case, the energy does not diverge in the limit Lz -> 4 (GM / c(2) )c. However, it has discontinuity at Lz = 4 (GM / c(2) )c, which is due to the frigidity of a black hole to a scattered particle.

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