R J Slagter 2001 Class. Quantum Grav. 18 463 doi:10.1088/0264-9381/18/3/308
R J Slagter
Show affiliationsWe investigated the SU(2) Einstein-Yang-Mills system on a time-dependent non-diagonal cylindrical symmetric spacetime. From the numerical investigation, wave-like solutions are found, consistent with the familiar string-like features. They possess an angle deficit which depends on the initial form of the magnetic component of the Yang-Mills field, i.e. the number of times it crosses the r-axis. The appearance of a curvature singularity depends on the ratio of the Planck scale Mpl and the Yang-Mills coupling constant g, i.e. α = Mpl/g = 1/g(4πG)1/2 and the initial mass per unit length of the cosmic string. The soliton-like behaviour of gravitational and Yang-Mills waves show significant differences from those found in the Abelian Einstein-Maxwell system. For some initial values, the solution possesses both electric and magnetic charge. The stability of the resulting non-Abelian spinning string is analysed using the multiple-scale method. To first order a consistent set of equations is obtained.
11.27.+d Extended classical solutions; cosmic strings, domain walls, texture
Issue 3 (7 February 2001)
Received 27 July 2000, in final form 6 November 2000
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