Physics
Scientific paper
Jul 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ctep.conf..113g&link_type=abstract
Contemporary theoretical and experimantal problems of General relativity and Gravitation, M., Moscow State Pedagogical Institute
Physics
Black Holes, Magnetic Fields, Ernst Solution, Wald'S Potentials, Chemical Potential, Particles Generation
Scientific paper
The interaction of scalar mass and electrically charged particles with the gravitational and electromagnetic fields of a Kerr-Newman black hole (bh), immersed in an external assimptotically flat and constant magnetic field IS considered. The metric is described by the Ernst's [2]-[3]solutions of the Einstein-Maxwell equations. The metric is axially simmetric, is endowed with an non singular horizon, but is not assimptotically flat. For B<<1/M (in a system of units c=h(bar)=G=1) at a sufficiently great distance from the black hole the space is approximately flat, while the magnetic field - is homogeneous. In this case the electromagnetic field is described by the Wald's potentials [1]. In the same approximation the scalar product of the Klein-Gordon equation is not positively defined in the region between the events horizon and spatial infinity, when the condition:
omega< e(V-Ba) + m(OMEGA - 2BV)
holds, where "omega" , e, m - are the enegry , electrical charge and the projection of the particle's angular mnoment on the Kerr - Newman bh's rotation axis. "OMEGA'"="OMEGA"-2BH can be considered an effective rotation velocity, while V'=V-Ba - can be considered an effective electric potential of a black hole, in accordance with [5]. The investigation of the frontier conditions at the events horizon shows that in the same case an amplification of the partial wave take place (superradiation). At the quantum level a process of particles generation occurs near the horizon. Let us mention, that the condition (1) is weeker than the known condition
B> m^2/e ,which corresponds to pairs of electrically charged particles generation by the strong magnetric field, examined in an analagous context in the reff. [4]. Particularly, the magnetic field leads to generation of massles (non charged) particles by a nonrotating, but electrically charged black hole.
REFERENCES:
1. Wald R.M., Phys. Rev., vol. 10, p. 1680 (1974);
2. Ernst F. G., J. Math. Phys., vol. 17, p. 54 (1976);
3. Ernst F. G., Wild W.J., J. Math. Phys., vol. 17, p. 108 (1976);
4. Gibbons G.W., Mon. Not. Roy. Astr.Soc., vol. 177, no.1, p. 37(1976);
5. Gal'tsov D.V., in: "Teoretiko-polevyie metody v fizike", Trudy mejdunarodnogo seminara., Zvenigorod, 1979, Moscow, 1980
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