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1980, Soviet Physics Journal
In the single-particle approximation of the Dirac equation, a study is made of the finite motion of electrons in the field of small black holes (M ≪10^17 g) under the assumption that the black hole has rotation (a ≪ M) and charge much less than the critical value (Z<<137). In this case, the motion of the particle is nonrelativistic, and the energy spectrum is hydrogen-like. The influence of rotation of the hole on the binding energy of the particle is small and unimportant for determining the damping of the levels due to capture by the hole. In contrast to a scalar particle, the damping of the electron states is not replaced by excitation for ω << mjΩH + eVH. The gravitational spin-orbit interaction has a strong influence on the damping. The probability of capture of an electron with spin anti-parallel to the orbital angular momentum is much greater than the probability of capture for a particle with spin parallel to it. In the Schwarzschild field, the damping of the S state of an electron is eight times less than the damping of the ground state of a scalar particle.
1989 •
The European Physical Journal C
Dynamics of particles around a Schwarzschild-like black hole in the presence of quintessence and magnetic field2015 •
Physical review
Orbital evolution of a test particle around a black hole. II. Comparison of contributions of spin-orbit coupling and the self-force2004 •
General Relativity and Gravitation
Bound states of spin-half particles in a static gravitational field close to the black hole field2013 •
The capture cross section of magnetized particles with nonvanishing magnetic moment by a Schwarzschild black hole immersed in an asymptotically uniform magnetic field has been studied as an extension of the approach developed in Zakharov (1994 Class. Quantum Grav. 11 1027) for neutral unmagnetized particles in the Reissner–Nordström spacetime. The magnetic moment of the particle is chosen as in de Felice and Sorge (2003 Class. Quantum Grav. 20 469). It is shown that the spin of the particle sustains the stability of particles circularly orbiting around the black hole immersed in a magnetic field, i.e., a spinning particleʼs motion near the Schwarzschild black hole horizon is more stable than that of a particle with zero spin. It is shown that the magnetic parameter essentially changes the value of the critical angular momentum and affects the process of capture of the particles by the central black hole. Furthermore, the interaction between the magnetic moment of the particle and the magnetic field forces stable circular orbits to shift to the central object, and this effect should be taken into account in astrophysical scenarios related to the accretion discs and in measuring the spin of the black holes. The magnetized particleʼs acceleration mechanism near the black hole in an external magnetic field is studied. It is shown that due to the presence of a magnetic field, magnetized particles can accelerate to unlimited high energies.
Physical Review D
Motion of magnetically charged particles in a magnetically charged stringy black hole spacetime2017 •
Zeitschrift für die alttestamentliche Wissenschaft
Abraham, Ephron and the Merchant. kaesaep ˁober lassoḥer (Genesis 23:16) in the Light of Ancient Near Eastern Silver Weighers2024 •
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