Volume 81, Number 6, March 2008
|Number of page(s)||6|
|Published online||21 February 2008|
Quadratic superconducting cosmic strings revisited *
Başkent University, Engineering Faculty - Bağlıca Campus, Ankara, Turkey
Corresponding author: firstname.lastname@example.org
Accepted: 23 January 2008
It has been shown that a 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 exact solution. The most general superconducting cosmic string, subject to some constraints, will be derived and shown to be mathematically 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.
PACS: 04.50.-h – Higher-dimensional gravity and other theories of gravity / 11.27.+d – Extended classical solutions; cosmic strings, domain walls, texture
© EPLA, 2008
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