Topological interactions in spacetimes with thick line defects

Mathematics – Logic

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Electrostatics, Poisson And Laplace Equations, Boundary-Value Problems

Scientific paper

In this work we study the topologically induced electric self-energy and self-force on a long, straight, wire in two distinct, but similar, spacetimes: (i) the Gott-Hiscock thick cosmic string spacetime, and (ii) the spacetime of a continuous distribution of infinitely thin cosmic strings over a disk of finite radius. In each case we obtain the electric self-energy and self-force both in the internal and external regions of the defect distribution. The self-force is always repulsive, independently of the sign of the charge, and is maximum on the string’s surface, in both cases.

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