Probing global aspects of a geometry by the self-force on a charge: Spherical thin-shell wormholes

Abstract

The self-interaction for a static point charge in the space-time of a thin-shell wormhole constructed connecting two identical Schwarzschild geometries is calculated in a series expansion. The electrostatic self-force is evaluated numerically. It is found to be attractive towards the throat except for some values of the throat radius proximate to the value of the Schwarzschild horizon for which the force is repulsive or attractive depending on the position of the charge. The result differs from the self-force in the space-time of the Schwarzschild black hole, where it is always repulsive from the center. Although these wormhole and black hole geometries are locally indistinguishable, the different topologies of both backgrounds are manifested in the electrostatic field of a point charge.

17 pages, 4 figues

References in corpus (3)

• Self-force of a point charge in the space-time of a symmetric wormhole
• Dependence of Self-force on Central Object
• Electrostatics in a wormhole geometry

Cited by in corpus (7)

• Stability of cylindrical thin shell wormhole during evolution of universe from inflation to late time acceleration
• Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
• Aspects of electrostatics in BTZ geometries
• Electrostatics and self-force in asymptotically flat cylindrical wormholes
• Self-action in Gravity
• Self-force on an arbitrarily coupled scalar charge in cylindrical thin-shell spacetimes
• Arbitrarily coupled massive scalar field in conical thin-shell spacetimes