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Citation:McManus, D. J. and Vandyck, M. A. (1993) 'Weak-field gravity of revolving circular cosmic strings', Physical Review D, 47(4), 1491-1496 (6pp). doi: 10.1103/PhysRevD.47.1491
A weak-field solution of Einstein's equations is constructed. It is generated by a circular cosmic string revolving in its plane about the center of the circle. (The revolution is introduced to prevent the string from collapsing.) This solution exhibits a conical singularity, and the corresponding deficit angle is the same as for a straight string of the same linear energy density, irrespective of the angular velocity of the string.
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