Physical Effects Near a Wormhole

Abstract

One of the features of general relativity is the possible existence of space-time with a nontrivial topological and casual global structure. The real three-dimensional space might in principle be multiply connected and there might exist wormholes in it. The presence of a wormhole leads to the appearance of corrections to the Coulomb law. In the present work, an exact solution of the Laplace equation for a flat space with a wormhole whose mouths are spheres is found. It is shown that a point charge is attracted to the wormhole at all points in space except for the plane of symmetry. An analogy is noted between the attraction of a charge to the mouth of a wormhole and the attraction of a charge to a polarizable body. A freely moving charge experiences acceleration due to the presence of attraction to the mouth of a wormhole, which leads to the appearance of electromagnetic radiation.