Effective potential energy for relativistic particles in the field of inclined rotating magnetized sphere

Epp, V.; Мастерова, М. А.

doi:10.1007/s10509-014-2066-9

Cited by 11 publications

(4 citation statements)

References 21 publications

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“…Indeed, switching from the Cartesian coordinate grid to the co-rotating frame allowed to express the effective potential of charged particles in the field of a rigidly rotating inclined magnetic dipole. 9,10 In our context this would mean to choose an observer with the orthonormal tetrad vectors e ν (µ) which allow to express the boundaries of allowed motion of particle with mass m, charge q and kinematical four-momentum p (µ) = e ν (µ) p ν as follows: making sure that coefficients α, β and γ only depend on configuration variables r, θ, ϕ and parameters of the system (a, q, B x and B z ). This relation follows directly from the covariance of expression (2) and orthonormality of the tetrad (i.e., g (µ)(ν) = η (µ)(ν) ).…”

Section: Oblique Magnetospherementioning

confidence: 99%

Effective potential of particles in the oblique black hole magnetosphere

Kopáček

Karas

2017

The Fourteenth Marcel Grossmann Meeting

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Dynamics of charged matter in the oblique black hole magnetosphere is investigated. In particular, we adopt a model consisting of a rotating black hole embedded in the external large-scale magnetic field that is inclined arbitrarily with respect to the rotation axis. Breaking the axial symmetry appears to have profound consequences regarding the dynamics of particles and it also poses some methodological difficulties. In this contribution we discuss the applicability of the method of effective potential for the nonaxisymmetric model and show that it may only be applied in the appropriate reference frame.

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Section: Oblique Magnetospherementioning

confidence: 99%

Effective potential of particles in the oblique black hole magnetosphere

Kopáček

Karas

2017

The Fourteenth Marcel Grossmann Meeting

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“…The electromagnetic field of a neutron star can be approximated by the field of inclined rotating magnetized sphere [1,7,11]. Taking into account that a solid sphere is incompatible with the theory of relativity (see related discussion in [12,13] and references therein) we consider the electromagnetic field of a nonrelativistic rotating body. This field is described by the 4-vector potential A ν , which in the coordinate system with temporal t and spherical r, θ, ϕ coordinates, has the following components [13] (axis Z is directed along the vector of angular velocity)…”

Section: Equation Of the Force-free Surfacementioning

confidence: 99%

On the ``Force-free Surface'' of the Magnetized Celestial Bodies

Epp¹,

Мастерова²

2015

Acta Phys. Pol. B

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The field of a uniformly magnetized rotating sphere is studied with special attention to the surface where the electric and magnetic fields are orthogonal to each other. The equation of this surface, valid at arbitrary distances from the rotating magnetized sphere, is obtained. Inside the light cylinder this surface can be considered as a force-free surface, i.e. as a place where the particles with strong radiation damping can be trapped due to their energy loss. Outside the light cylinder this surface makes just a geometric locus which moves with a superlight velocity around the axis of rotation. The 2-and 3-dimensional plots of the force-free surface are constructed. Estimation of influence of the centrifugal force on the particle dynamics is made. It is shown, that in case of strong magnetic field the centrifugal force is negligible small everywhere except a narrow neighbourhood of the light cylinder.

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“…For example, in ref. [16] the dynamics of a charged relativistic particles in the electromagnetic field of a rotating magnetized star with the magnetic axis inclined to the axis of rotation has been studied recently. Clearly, the inclined rotator represents a non-stationary situation where the formalism of a simple effective potential must be modified and treated by numerical approaches.…”

Section: Case Of Electrically Charged Particlesmentioning

confidence: 99%

Oblique Magnetic Fields and the Role of Frame Dragging Near Rotating Black Hole

2014

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Magnetic null points can develop near the ergosphere boundary of a rotating black hole by the combined effects of strong gravitational field and the frame-dragging mechanism. The induced electric component does not vanish an efficient process of particle acceleration can occur. Furthermore, the effect of imposed (weak) magnetic field can trigger an onset of chaos. The model set-up appears to be relevant for low-accretion-rate nuclei of some galaxies which exhibit episodic accretion events (such as the Milky Way's supermassive black hole) embedded in a large-scale magnetic field of external origin. We review our recent results and we give additional context for future work with the focus on the role of gravito-magnetic effects caused by rotation of the black hole. While the test motion is strictly regular in the classical black hole space-time, with and without effects of rotation or electric charge, gravitational perturbations and imposed external electromagnetic fields may lead to chaos.

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Effective potential energy for relativistic particles in the field of inclined rotating magnetized sphere

Cited by 11 publications

References 21 publications

Effective potential of particles in the oblique black hole magnetosphere

Effective potential of particles in the oblique black hole magnetosphere

On the ``Force-free Surface'' of the Magnetized Celestial Bodies

Oblique Magnetic Fields and the Role of Frame Dragging Near Rotating Black Hole

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