Equilibrium of a charged test particle in the Kerr-Newman spacetime

Aguirregabiria, J. M.; Chamorro, A.; Suinaga, J.; Vishveshwara, C. V.

doi:10.1088/0264-9381/12/3/008

Cited by 8 publications

(16 citation statements)

References 2 publications

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“…Bonnor's [1] test particle analysis has been modified [28] in such a way that the equilibrium conditions of a charged test particle in the field of a Kerr-Newman source can be studied. The generalization of the mathematically exact solution to two spinning sources (Kerr-Newman sources) is already known [12][13][14].…”

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confidence: 99%

Electrostatic equilibrium of two spherical charged masses in general relativity

Perry

Cooperstock

1997

Class. Quantum Grav.

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Approximate solutions representing the gravitational-electrostatic balance of two arbitrary point sources in general relativity have led to contradictory arguments in the literature with respect to the condition of balance. Up to the present time, the only known exact solutions which can be interpreted as the non-linear superposition of two spherically symmetric (Reissner-Nordström) bodies without an intervening strut has been for critically charged masses,In the present paper, an exact electrostatic solution of the EinsteinMaxwell equations representing the exterior field of two arbitrary charged Reissner-Nordström bodies in equilibrium is studied. The invariant physical charge for each source is found by direct integration of Maxwell's equations. The physical mass for each source is invariantly defined in a manner similar to which the charge was found. It is shown through numerical methods that balance without tension or strut can occur for non-critically charged bodies. It is demonstrated that other authors have not identified the correct physical parameters for the mass and charge of the sources. Further properties of the solution, including the multipole structure and comparison with other parameterizations, are examined.

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confidence: 99%

Electrostatic equilibrium of two spherical charged masses in general relativity

Perry

Cooperstock

1997

Class. Quantum Grav.

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“…This difference in content of the two theories has a counterpart in that of a charged test particle in the field of a spherical charged mass, for which it has been shown that the classical condition is neither necessary nor sufficient for equilibrium in Einstein-Maxwell theory [20][21][22][23].…”

Section: Solution Bmentioning

confidence: 99%

The charged line-mass in general relativity

Bonnor

2007

Gen Relativ Gravit

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“…The equilibrium is spin-independent also in the Reissner-Nordström-de Sitter spacetimes [11]. Of course, the equilibrium is spin dependent in the rotating Kerr spacetimes due to the interaction of the spin of the particle and the black hole [1].…”

Section: Introductionmentioning

confidence: 97%

“…Studies of the equilibrium positions (equilibrium hereinafter) of charged test particles give direct information on interplay of the gravitational and electromagnetic forces acting in the charged (Reissner-Nordström and Kerr-Newman) backgrounds [3], [4], [2], [1], [9]. In the simplest Schwarzschild backgrounds, the equilibrium of test particles is impossible, because only the gravitational attraction is acting here.…”

Section: Introductionmentioning

confidence: 99%

Equilibrium conditions of spinning test particles in Kerr–de Sitter spacetimes

Stuchlík

Kovář

2006

Class. Quantum Grav.

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Equilibrium conditions and spin dynamics of spinning test particles are discussed in the stationary and axially symmetric Kerr-de Sitter black-hole or naked-singularity spacetimes. The general equilibrium conditions are established, but due to their great complexity, the detailed discussion of the equilibrium conditions and spin dynamics is presented only in the simple and most relevant cases of equilibrium positions in the equatorial plane and on the symmetry axis of the spacetimes. It is shown that due to the combined effect of the rotation of the source and the cosmic repulsion the equilibrium is spin dependent in contrast to the spherically symmetric spacetimes. In the equatorial plane, it is possible at the so-called static radius, where the gravitational attraction is balanced by the cosmic repulsion, for the spinless particles as well as for spinning particles with arbitrarily large ϕ-oriented spin or at any radius outside the ergosphere with a specifically given spin orthogonal to the equatorial plane. On the symmetry axis, the equilibrium is possible at any radius in the stationary region and is given by an appropriately tuned spin directed along the axis. At the static radii on the axis the spin of particles in equilibrium must vanish.

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Equilibrium of a charged test particle in the Kerr-Newman spacetime

Cited by 8 publications

References 2 publications

Electrostatic equilibrium of two spherical charged masses in general relativity

Electrostatic equilibrium of two spherical charged masses in general relativity

The charged line-mass in general relativity

Equilibrium conditions of spinning test particles in Kerr–de Sitter spacetimes

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