Kouji Nakamura 2002 Class. Quantum Grav. 19 783 doi:10.1088/0264-9381/19/4/310
Kouji Nakamura
Show affiliationsThe initial data of the gravitational field produced by a thick loop string are considered. We show that a thick loop is not a geodesic on the initial hypersurface, while a loop conical singularity is. This suggests that there is a 'critical thickness' of a string, at which the linear perturbation theory with a flat space background fails to describe the gravity of a loop cosmic string. Using the above initial data, we also show that the linear perturbation around the flat space is plausible if the string thickness is larger than ~5 × 10−3a, where a is the curvature radius of the loop.
11.27.+d Extended classical solutions; cosmic strings, domain walls, texture
Issue 4 (21 February 2002)
Received 17 August 2001, in final form 18 December 2001
Published 6 February 2002
Kouji Nakamura 2002 Class. Quantum Grav. 19 783
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