Quasistationary states and the mass particles generation in a Kerr-Newman field

Details Quasistationary states and the mass particles generation in a Kerr-Newman field Quasistationary states and the mass particles generation in a Kerr-Newman field

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ctep.conf..193g&link_type=abstract

Contemporary theoretic and experimantal problems of General relativity and Gravitation, Moscow, Moscow, State University, MSU Pr

Computer Science

General Relativity, Kerr-Newman Gravitational And Electromagnetic Fields, Quantum Mechanics, Klein - Gordon Equation, Dirac Equation, Bound States, Levels Fine And Hyperfine Structure, Particles Generation

Scientific paper

The finite motion of mass, electrically charged scalar and spin particles in the Kerr-Newman fields is considered. The particles motion is nonstationary, due to singularity of the metric and the presence of an events horizon. A criterion for the existence of the quasibound states is found, which are described by a hydrogen like nonrelativistic spectrum in the null approximation [1], [2]. The probabilities of the disintegration and the timelifes of the levels are calculated. The possibility of the occurence of s- bound states (l=m=0) is demonstrated.
The Postnewtonian and electromagnetic relativistic effects lead to fine and hyperfine structures of the spectrum. The gravitational spin-orbit interaction lead to the removing of the electronic levels degeneration by the orbital momentum quantum number and by the total momentum quantum numbers. The interaction of the orbit and of the spin of the particle with the "quasimagnetic components" of the gravitational field, related with the rotation of the central body, removes of the degeneration of the levels by the sign and the magnitude of the projection of the total moment on the rotation axis and lead to hyperfine levels structure. The influence of that interaction on the levels structure become significant when the limit of the "extremal Kerr field" (a=M) is taken [2].
The processes of the particles generation in bound states are examined, which lead to the "Klein paradox" [4]. By using of the perturbations method the probabilities of the a) spontaneous and b) stimulated generation of scalar particles are calculated. The Pauli principle excluds the processes of the type b) ( i.e. stimulated) for fermions. The non rotating black hole is stable against the last processes. The ground s-state of particles in the Kerr-Newman fields is dumped for scalar particles and fermions. For small black holes ("Gravitational radius" ~ "Compton wavelength") intense accumulation occur at a level with l=m=1. The processes examined can play a significant role in the black holes evolution.
REFERENCES:
1. Ternov I.M., Khalilov V.R., Chizhov G.A., Gaina A.B., Izv. vyssh.uchebn. zaved., Ser. Fizika, N 9, p. 109 (1978);
2. Gaina A.B., Chizhov G.A., Izv. vyssh. uchebn. zaved., Ser. Fizika, N 4, p.120 (1980);
3. Ternov I.M., Gaina A.B., Chizhov G.A., Izv. vyssh. uchebn. zaved., Ser. Fizika, N.8, p.56 (1980);

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