Electrically charged matter in rigid rotation around magnetized black hole

Abstract

We study charged-fluid toroidal structures surrounding a non-rotating charged black hole immersed in a large-scale, asymptotically uniform magnetic field. In continuation of our former study on electrically charged matter in approximation of zero conductivity, we demonstrate existence of orbiting structures in permanent rigid rotation in the equatorial plane, and charged clouds hovering near the symmetry axis. We constrain the range of parameters that allow stable configurations and derive the geometrical shape of equi-pressure surfaces. Our simplified analytical study suggests that these regions of stability may be relevant for trapping electrically charged particles and dust grains in some areas of the black hole magnetosphere, being thus important in some astrophysical situations.

Acceleration of the charged particles due to chaotic scattering in the combined black hole gravitational field and asymptotically uniform magnetic field

“…Therefore, the possibility that black holes can be immersed in an external, large-scale electromagnetic field has to be taken quite seriously. Moreover, it has been demonstrated that a black hole located near the equatorial plane of a magnetar will be immersed in a nearly homogeneous magnetic field if the distance to the magnetar is large enough [7]. Hereafter in this paper we will concentrate our attention on the particular and simplified case of a black hole immersed in an asymptotically uniform magnetic field known as the Wald solution for a magnetized black hole [22].…”

“…The energy from a collision of the charged particles in the vicinity of the horizon of a black hole or a naked singularity immersed into an external magnetic field can cause particle acceleration [30][31][32][33]. Of special interest is existence of off-equatorial circular orbits of the charged particles [34,35] and related existence of toroidal charged-fluid configurations levitating off the equatorial plane [7,36,37].…”

“…There is a large variety of studies of the charged test particle motion in such 1 Black hole immersed in an external electromagnetic field. Large-scale electromagnetic field can have dipole character for a magnetar, but at large distance from the source its character can be simplified to almost uniform magnetic field in finite element of space as shown in [7] combined fields [10,[23][24][25][26][27][28][29]. The energy from a collision of the charged particles in the vicinity of the horizon of a black hole or a naked singularity immersed into an external magnetic field can cause particle acceleration [30][31][32][33].…”

Quasi-harmonic oscillatory motion of charged particles around a Schwarzschild black hole immersed in a uniform magnetic field

“…Therefore, black holes can be also immersed in an external, large scale electromagnetic field that can have a complicated structure in vicinity of field source, but at large distance (asymptotically) in finite element of space, its character can be simple and close to a homogeneous magnetic field. Moreover, it has been recently shown [18] that a black hole located near the equatorial Quasi-periodic motion of a charged test particle around a Schwarzschild black hole immersed in an external uniform magnetic field (right) compared to the motion of an electrically neutral test particle moving along a circular orbit around the black hole (left). The charged particle starts its motion at the point on the circular geodesic of the uncharged particle.…”

Landau levels in a gravitational field: the Levi-Civita and Kerr spacetimes case

“…Our main goal in this paper has indeed been to simply bring into light the effect of more complicated gravitational fields than that due to a static spherical mass on the Landau quantum levels. A fully relativistic treatment of the motion of charged particles in a strong magnetic field and in a curved spacetime, as done in, e.g., Refs [49][50][51][52][53][54][55][56][57][58],. will be the next step.We defer the investigation taking into account the relativistic corrections to the motion of the electrons or neutrons moving on the surface of neutron stars/magnetars/magnetic white dwarfs to forthcoming works.…”