Abstract
In the weakly relativistic limit, an expression is obtained for the damping of quasistationary energy levels in Schwarzschild and Kerr fields due to capture by a collapsar. The strength of the damping in the Schwarzschild field decreases strongly with increasing angular momentum of the particle. If the conditionω < mΩH is satisfied in the case of a rotating black hole, the damping can be replaced by excitation. A particle production process (Hawking process) is considered that leads to the accumulation of particles on quasistationary levels near the black hole. Dynamical equilibrium can be established in the system between the processes of production and capture of particles by the black hole.
Similar content being viewed by others
Literature cited
B. Carter, Phys. Rev.,174, 1559 (1968); J. M. Bardeen, W. H. Press, and S. A. Teukolsky, Astrophys. J.,178, 347 (1972).
S. Hawking, Nature,248, 30 (1974); Commun. Math. Phys.,43, 199 (1975).
N. Deruelle and R. Ruffini, Phys. Lett.,52B, 437 (1974).
Th. Damour and R. Ruffini, Phys. Rev.,D14, 332 (1976).
D. R. Brill, P. L. Shrzanowski, C. M. Pereira, E. D. Fackerell, and J. R. Ipser, Phys. Rev.,D5, 1913 (1972).
A. A. Starobinskii, Zh. Eksp. Teor. Fiz.,64, 48 (1973).
Ya. B. Zel'dovich, Pis'ma Zh. Eksp. Teor. Fiz.,14, 270 (1971); Zh. Eksp. Teor. Fiz.,62, 2076 (1972); C. W. Misner, Bull. Am. Phys. Soc.,17, 472 (1972).
A. Erdélyi et al. (editors), Higher Transcendental Functions (California Institute of Technology, H. Bateman MS Project), Vol. 1, McGraw-Hill, New York (1953).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, 109–114, September, 1978.
Rights and permissions
About this article
Cite this article
Ternov, I.M., Khalilov, V.R., Chizhov, G.A. et al. Finite motion of massive particles in the Kerr and Schwarzschild fields. Soviet Physics Journal 21, 1200–1204 (1978). https://doi.org/10.1007/BF00894575
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00894575