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

TL;DR

This paper investigates the quantum behavior of various particles in different black hole spacetimes, analyzing effective potentials and particle states near horizons, revealing regimes of particle falling and stationary bound states.

Contribution

It provides a comprehensive analysis of quantum particles in multiple black hole backgrounds, including higher-dimensional cases, and identifies conditions for particle falling and stationary states.

Findings

Existence of particle falling regimes on event horizons.

Stationary bound states without falling in certain conditions.

Effective potential behaviors in various black hole spacetimes.

Abstract

We consider interactions of scalar particles, photons, and fermions in Schwarzschild, Reissner-Nordstr\"om, 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 Schr\"odinger-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".