Physics
Scientific paper
Jun 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ctep.conf..171o&link_type=abstract
Contemporary theoretical and experimental problems of General Relativity and Gravitation, Moscow, Moscow State University, MSU P
Physics
1
General Relativity, Kerr-Newman Gravitational And Elctromagnetic Fields, Quantum Mechanics, Klein-Gordon Equation, Bound States, Klein-Paradox, Particles Generation, Damping
Scientific paper
The lagrangian of scalar electrically charged field is examined in the Kerr-Newman background. The standard separation of variables procedure is made following the work by Chrzanovsky et all. The radial equation is solved for bound states (E < mc2) in terms of the generalized hypergeometric function and Tricomi function with subsequent overlaping. The dumping of the levels is found in an explicite form for slowly charged microscopically small black holes: Z"alfa"~"Gravitational radius"/"Compton wavelength"<<1. The damping changes the sign when the condition for the superradiation : "omega"< m"OMEGA"-e"Electrostatic potential" fulfills.
The same condition leads to Klein paradox and particles generation and accumulation on bound levels in the Kerr-Newman geometry.
References:
1. Ternov I.M., Khalilov, V.R., Chizhov, G.A., Gaina A.B., Fizika (ISSN 0021-3411), vol. 21, No. 9, Sept. 1978, p. 109-114 (in Russian)
2. Hawking S., Nature, vol.248,30, 1974
3. Hawking S., Commun. Math. Phys., vol. 43, 199, 1975
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