Self-force on a static charge in the long throat of a wormhle

Popov, Arkady A.

doi:10.1007/s10714-013-1546-5

Cited by 4 publications

(5 citation statements)

References 59 publications

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“…The wormhole with profile (144) was used in Refs. [253][254][255] to calculate self-force in the long length of throat approximation, a/τ 1. In Fig.…”

Section: Bronnikov-ellis Wormholementioning

confidence: 99%

“…, (212) and one should set ξ = 0 for Maxwell field. The self-force for the Maxwell field has two contributions [254]. The first one comes from zero momentum term, l = 0 and other terms, l > 0, in the WKB approximation…”

Section: Profile R = |ρ| + Amentioning

confidence: 99%

“…In Refs. [253][254][255], the self-force was considered for particles inside of this tube where ρ < τ . The massless [253] and massive [255]…”

mentioning

confidence: 99%

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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 wormhole with profile (144) was used in Refs. [253][254][255] to calculate self-force in the long length of throat approximation, a/τ 1. In Fig.…”

Section: Bronnikov-ellis Wormholementioning

confidence: 99%

Section: Profile R = |ρ| + Amentioning

confidence: 99%

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Self-action in Gravity

Khusnutdinov

2020

Preprint

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“…The studies in spaces of topological defects (for example, an infinitely long straight cosmic string, a global monopole) help understand the self-interaction better, since this effect is sensitive not only to curvature, but also to the topological structure of space-time [17][18][19][20] Wormhole spaces are also interesting for studying the self-interaction, since they have both a non-trivial topological structure and curvature. For static scalar and electromagnetic charges, the effect of self-interaction in space-time of wormholes with different throat shapes were considered in [21][22][23]. It is interesting to note that in the case of a long throat, the selfinteraction is local even for a massless scalar field, nonminimally coupled to the curvature of spacetime [24].…”

Section: Introductionmentioning

confidence: 99%

Self-action of electromagnetic charge in a wormhole with an infinitely short throat

Aslan¹,

Popov²

2022

Preprint

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“…Significant efforts were made to calculate the self-force on the background of different types of the black holes . The self-force for a charge at rest in static spherically symmetric wormhole spacetimes is determined by the profile of wormhole throat and coupling of the field of charge with curvature of spacetime [70][71][72][73][74][75][76][77][78]. It was shown [73,77] that there is an infinite set of values for the coupling constant of the scalar field to the curvature of the spacetime for which the self-force on a static scalar charge diverges.…”

Section: Introductionmentioning

confidence: 99%

Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole

Popov

Aslan

2018

Int. J. Geom. Methods Mod. Phys.

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The self-interaction for a static scalar charge in the space-time of extreme charged anti-dilatonic wormhole is calculated. We assume that the scalar charge is the source of massless scalar field with minimal coupling of the scalar field to the curvature of spacetime. I. INTRODUCTIONWormholes are topological handles in spacetime linking different universes or different parts of the same universe. Interest in these configurations dates back to at least 1916 [1] with revivals of activity following the works of Einstein and Rosen in 1935 [2] and the later series of works initiated by Wheeler in 1955 [3]. A fresh interest in this topic has been rekindled by the works of Morris and Thorne [4] and of Morris, Thorne and Yurtsever [5]. In classical general relativity, it is well known that traversable wormholes as solutions to the Einstein equations can only exist with exotic matter which violates the null energy condition T µνu µ u ν ≥ 0 for any null vector field u µ . Various models providing the wormhole existence include scalar fields [6,7]; wormhole solutions in Einstein-Gauss-Bonnet theory [8,9]; wormholes geometries induced by quantum effects [10,11]; wormhole solutions in semi-classical theory of gravity [12][13][14]; solutions in modified theories of gravity [15][16][17][18][19]; modified teleparallel theories [20] and their extensions [21], etc. The geometry of wormhole as well as a good introduction in the subject may be found in the Visser book [22] and in the review by Lobo [23] Static spherically symmetric wormholes would look observationally almost like black holes. One of the effects which can differ these two spacetimes is the self-interaction for the charge. Self-interaction effects in curved spacetime have been vigorously explored; for an extensive review, see [24][25][26][27]. The origin of this induced self-interaction resides on the nonlocal structure of the field caused by the space-time curvature or nontrivial topology. In flat space-time, the effect is determined by the derivative of acceleration of the charge. For electrically charged particles in flat spacetime, the self-force is given by the Abraham-Lorentz-Dirac formula [28,29]. In static curved space-times and space-times with nontrivial topology the self-force can be nonzero even for the charge at rest (here and below the words "at rest" mean that the velocity of charge is collinear to the timelike Killing vector which always exists in a static space-time). Results of this type were obtained for a static particle in flat spacetimes of the topological defects [30][31][32][33][34][35][36]. The formal expression for the electromagnetic self-force in an arbitrary curved space-time was first derived by DeWitt and Brehme [37] and a correction was later provided by Hobbs [38]. Mino, Sasaki, and Tanaka [39] and independently Quinn and Wald [40] obtained similar expressions for the gravitational self-force on a point mass. The self-force on a charge interacting with a massless minimally coupled scalar field was considered by Quinn [41]. More rec...

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Self-force on a static charge in the long throat of a wormhle

Cited by 4 publications

References 59 publications

Self-action in Gravity

Self-action in Gravity

Self-action of electromagnetic charge in a wormhole with an infinitely short throat

Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole

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