https://doi.org/10.1140/epjc/s10052-020-8063-y
Regular Article - Theoretical Physics
Electrostatics and self-force in asymptotically flat cylindrical wormholes
1
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pab. I, 1428, Buenos Aires, Argentina
2
IFIBA-CONICET, Ciudad Universitaria Pab. I, 1428, Buenos Aires, Argentina
* e-mail: erdec@df.uba.ar
Received:
26
April
2020
Accepted:
20
May
2020
Published online:
3
June
2020
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.
© The Author(s), 2020
