Geodesic
Quantum mechanics of stationary states of particles in a~space--time of classical black holes
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 2, pp. 284-323

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We consider interactions of scalar particles, photons, and fermions in Schwarzschild, Reissner–Nordström, Kerr, and Kerr–Newman gravitational and electromagnetic fields with a zero and nonzero cosmological constant. We also consider interactions of scalar particles, photons, and fermions with nonextremal rotating charged black holes in a minimal five-dimensional gauge supergravity. We analyze the behavior of effective potentials in second-order relativistic Schrödinger-type equations. In all cases, we establish the existence of the regime of particles “falling” on event horizons. An alternative can be collapsars with fermions in stationary bound states without a regime of particles “falling.”
Keywords: quantum mechanical hypothesis of cosmic censorship, Schrödinger-type equation, effective potential, Schwarzschild, Reissner–Nordström, and Kerr–Newman black holes with zero and nonzero cosmological constant, anti-de Sitter black hole in five-dimensional supergravity.
Mots-clés : scalar particle, photon, fermion, Kerr 
@article{TMF_2020_205_2_a6,
     author = {M. V. Gorbatenko and V. P. Neznamov},
     title = {Quantum mechanics of stationary states of particles in a~space--time of classical black holes},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {284--323},
     publisher = {mathdoc},
     volume = {205},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a6/}
}
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M. V. Gorbatenko; V. P. Neznamov. Quantum mechanics of stationary states of particles in a~space--time of classical black holes. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 2, pp. 284-323. http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a6/