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Self-energy and Self-force in the Space-time of a Thick Cosmic String

N. R. Khusnutdinov·V. B. Bezerra
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Abstract

We calculate the self-energy and self-force for an electrically charged particle at rest in the background of Gott-Hiscock cosmic string space-time. We found the general expression for the self-energy which is expressed in terms of the $S$ matrix of the scattering problem. The self-energy continuously falls down outward from the string's center with maximum at the origin of the string. The self-force is repulsive for an arbitrary position of the particle. It tends to zero in the string's center and also far from the string and it has a maximum value at the string's surface. The plots of the numerical calculations of the self-energy and self-force are shown.

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N. R. Khusnutdinov, V. B. Bezerra. 2001-07-04. Self-energy and Self-force in the Space-time of a Thick Cosmic String. https://doi.org/10.1103/physrevd.64.083506

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