Gravitational radiation from extreme Kerr black hole
Abstract
Gravitational radiation induced by a test particle falling into an extreme Kerr black hole was investigated analytically. Assuming the radiation is dominated by the infinite sequence of quasinormal modes which has the limiting frequency m/(2M), where m is an azimuthal eigenvalue and M is the mass of the black hole, it was found that the radiated energy diverges logarithmically in time. Then the back reaction to the black hole was evaluated by appealing to the energy and angular momentum conservation laws. It was found that the radiation has a tendency to increase the ratio of the angular momentum to mass of the black hole, which is completely different from nonextreme case, while the contribution of the test particle is to decrease it.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1989
 Bibcode:
 1989STIN...8926794S
 Keywords:

 Black Holes (Astronomy);
 Conservation Laws;
 Emission Spectra;
 Gravitational Waves;
 Neutron Stars;
 Angular Momentum;
 Astrophysics;
 Eigenvalues;
 Mass Distribution;
 Astrophysics