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arXiv · 0802.3263

Quadratic superconducting cosmic strings revisited

Mustapha Azreg-Aïnou
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Abstract

It has been shown that 5-dimensional general relativity action extended by appropriate quadratic terms admits a singular superconducting cosmic string solution. We search for cosmic strings endowed with similar and extended physical properties by directly integrating the non-linear matrix field equations thus avoiding the perturbative approach by which we constructed the above-mentioned \textsl{exact} solution. The most general superconducting cosmic string, subject to some constraints, will be derived and shown to be mathematically \textsl{unique} up to linear coordinate transformations mixing its Killing vectors. The most general solution, however, is not globally equivalent to the old one due to the existence of Killing vectors with closed orbits.

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Mustapha Azreg-Aïnou. 2008-02-22. Quadratic superconducting cosmic strings revisited. https://doi.org/10.1209/0295-5075/81/60003

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