Quantum mechanics of stationary states of particles in external singular spherically and axially symmetric gravitational and electromagnetic fields

Abstract

The report considers the interaction of scalar particles, photons and fermions with the gravitational and electromagnetic Schwarzschild, Reissner-Nordström, Kerr and Kerr-Newman fields. The behavior of effective potentials in the relativistic Schrödinger-type second-order equations is analyzed. It was found that the quantum theory is incompatible with the hypothesis of the existence of classical black holes with event horizons of zero thickness that were predicted based on solutions of the general relativity (GR) with zero and non-zero cosmological constant $\Lambda$. The alternative may be presented by compound systems, i.e., collapsars with fermions in stationary bound states.

arXiv comment9 pages, 1 figure

References in corpus (5)

• Quantum Probes of Spacetime Singularities
• Maxwell's Equations in the Myers-Perry Geometry
• The Klein-Gordon equation in the spacetime of a charged and rotating black hole
• 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

Cited by in corpus (1)

• Nonrelativistic quantum particles on the Minkowski plane