Quadratic superconducting cosmic strings revisitedM. Azreg-Aïnou
Baskent University, Engineering Faculty - Baglica Campus, Ankara, Turkey
received 23 November 2007; accepted in final form 23 January 2008; published March 2008
published online 21 February 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.
04.50.-h - Higher-dimensional gravity and other theories of gravity.
11.27.+d - Extended classical solutions; cosmic strings, domain walls, texture.
© EPLA 2008