Electrostatics in a simple wormhole revisited

Boisseau, B.; Linet, B.

doi:10.1007/s10714-013-1504-2

Cited by 7 publications

(9 citation statements)

References 15 publications

(39 reference statements)

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“…Finally, a detailed analysis of the electric fluxes across the wormhole throat as well as at both spatial infinities will be performed; this will give a good picture of the interesting physical aspects introduced by the non trivial topology of the geometry. Unlike what was pointed out in previous illuminating works on electrostatics in spherically symmetric wormhole spacetimes [12,13], here we show that the presence of a test electric charge fixes a finite flux traversing the cylindrical wormhole throat.…”

Section: Introductionsupporting

confidence: 49%

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Electrostatics and self-force in asymptotically flat cylindrical wormholes

Celis

Simeone

2020

Eur. Phys. J. C

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The problem of the electrostatics in conical wormholes is revisited, now improving the background geometries with asymptotical flatness. The electric self-force on a point charge placed at different regions in the spacetime of a conical thin-shell wormhole connecting flat outer submanifolds is obtained and compared with the results of previous works. The study is also carried out in terms of a previously introduced analogy in which the effect of the matter shells on the electric field is reproduced by non-gravitating layers of charge located on the boundary surfaces. Besides, a better insight on the physical effects of a non trivial geometry is obtained by means of a further analysis of the electric fluxes across the wormhole throat and at both spatial infinities. It is found that the throat is traversed by a non-arbitrary and finite electric flux determined by the global topology, which is proportional to the charge of the source, and is characteristic of the asymptotically flat cylindrical wormholes regardless of the details of the throat geometry.

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Section: Introductionsupporting

confidence: 49%

“…Electrostatic self-forces in wormhole [10] spacetimes were first studied in Refs. [11][12][13]. Taking into account the interesting results therein, in previous works we developed a program aimed to distinguish between topologically different geometries which are equal in the region where the charge is placed.…”

Section: Introductionmentioning

confidence: 99%

Electrostatics and self-force in asymptotically flat cylindrical wormholes

Celis

Simeone

2020

Eur. Phys. J. C

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“…The spacetime (132) maybe written [250,251] in isotropic form by introducing new radial coordinate l > 0: 2l = ρ + r(ρ), ρ = l − a 2 /4l. In these coordinates the metric has the following form Another model has been considered in Ref.…”

Section: Bronnikov-ellis Wormholementioning

confidence: 99%

Self-action in Gravity

Khusnutdinov

2020

Preprint

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On a particle moving with variable acceleration in the flat space-time affects the self-force due to outgoing radiation. The gravitational fields bring an additional contribution to self-force due to scattering waves on the curved backgrounds. This force is not zero even for a particle at rest. A review of the self-interaction in the gravitational field is presented. We consider the self-force for the particle connected with the vector and scalar fields. Different backgrounds are considered -black holes, stars, topological defects, and wormholes.

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“…The phenomenon of self-interaction force experienced by an electric charge placed in an arbitrary gravitational field was analyzed for the first time by DeWitt and Brehme [1]. In this scenario, the self-force is induced by the interaction of the electromagnetic field generated by the electric charge and the curvature of the spacetime [2,3,4,5,6,7,8,9]. This interaction modifies the electrostatic potential in such a way that the electric charge experiences a finite self-force.…”

Section: Introductionmentioning

confidence: 99%

Self-force on an electric dipole in the spacetime of a cosmic string

Muniz¹,

Bezerra²

2014

Annals of Physics

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We calculate the electrostatic self-force on an electric dipole in the spacetime generated by a static, thin, infinite and straight cosmic string. The electric dipole is held fixed in different configurations, namely, parallel, perpendicular to the cosmic string and oriented along the azimuthal direction around this topological defect, which is stretched along the z axis. We show that the self-force is equivalent to an interaction of the electric dipole with an effective dipole moment which depends on the linear mass density of the cosmic string and on the configuration. The plots of the self-forces as functions of the parameter which determines the angular deficit of the cosmic string are shown for those different configurations.Comment: To appear in Annals of Physic

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Electrostatics in a simple wormhole revisited

Cited by 7 publications

References 15 publications

Electrostatics and self-force in asymptotically flat cylindrical wormholes

Electrostatics and self-force in asymptotically flat cylindrical wormholes

Self-action in Gravity

Self-force on an electric dipole in the spacetime of a cosmic string

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