Excitation of the Free Oscillation of a Schwarzschild Black Hole by the Gravitational Waves from a Scattered Test Particle

Details Excitation of the Free Oscillation of a Schwarzschild Black Hole by the Gravitational Waves from a Scattered Test Particle Excitation of the Free Oscillation of a Schwarzschild Black Hole by the Gravitational Waves from a Scattered Test Particle

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pthph..71..738o&link_type=abstract

Progress of Theoretical Physics, Vol. 71, No. 4, pp. 738-751

Physics

9

Scientific paper

In order to find conditions of excitation of the free oscillation of a Schwarzschild black hole by gravitational waves, we have analyzed the gravitational waves radiated by a test particle of mass mu and orbital angular momentum mu LZ starting at infinity with finite velocity sqrt{1-epsilon(-2}) c and scattered by a Schwarzschild black hole of mass M (>> mu). Using the generalized Regge-Wheeler equation, the formalism of computation of the energy of the wave going into the horizon, the energy of the ingoing wave on the horizon and the outgoing wave at infinity are given. It is found that if the energy of the particle at infinity (epsilon mu c(2) ) is greater than 1.1mu c(2) , the ingoing wave can excite the free oscillation of the black hole. For large values of epsilon (gtrsim 2), even if the periastron of the particle is located considerably outside the barrier of the Regge-Wheeler potential, the quasi-normal mode is excited. This is because high frequency waves are radiated inward that can get over the barrier.

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