Quantum mechanics of stationary states of particles in a space-time of classical black holes

Abstract

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 particle "falling" on event horizons. An alternative can be collapsars with fermions in stationary bound states without a regime of particles "falling".

arXiv comment37 pages, 1 figure

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• The massive Dirac equation in the Kerr-Newman-de Sitter and Kerr-Newman black hole spacetimes
• Stationary solutions of the second-order equation for fermions in Kerr-Newman space-time
• Quantum mechanical equivalence of the metrics of a centrally symmetric gravitational field
• Motion of half-spin particles in the axially symmetric field of naked singularities of static q-metric

Cited by in corpus (7)

• Doubling of physical states in the quantum scalar field theory for a remote observer in the Schwarzschild spacetime
• Asymptotic behavior of solutions and spectrum of states in the quantum scalar field theory in the Schwarzschild spacetime
• Quantization of spinor field in the Schwarzschild spacetime and spin sums for solutions of the Dirac equation
• The Quantum Model of Spinning Black Holes
• Something new about radial wave functions of fermions in the repulsive Coulomb field
• Prüfer transformation and its application to the numerical description of the motion of quantum particles with various spins in the fields of classical black holes
• Quantum probing of singularities at event horizons of black holes