Year: 1984
Type: article
Abstract: Using the generalized Regge-Wheeler equation, we have computed the gravitational radiation emitted by a particle of mass µ with orbital angular momentum µLz (Lz > 4 (GM / c2 ) c) and the total energy µc2 scattered by a Schwarzschild black hole of mass M ( ≫µ). It is found that contrary to plunging cases (Lz ≪ 4 (GM / c2 ) c), the quasi-normal mode is not excited even when the periastron approaches the limiting value 4 (GM /c2). The total energy for Lz = 4.1 (GM / c2)c is 1.24 ×10-1 (µ/M)µc2 which is smaller than that for Lz = 3.9 (GM/ c2)c, 5.49 ×10-1 (µ/ M) µc2. 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 / c2)c. However, it has discontinuity at Lz = 4 (GM / c2)c, which is due to the frigidity of a black hole to a scattered particle.
Source: Progress of Theoretical Physics
DOI: 10.1143/ptp.71.91
Authors: K.-i. Oohara, T. Nakamura
Institution: Kyoto University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2072829704