A rotating cosmic string

Physics

Scientific paper

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Scientific paper

A cylindrically symmetric solution of the vacuum Einstein equations is obtained by applying a complex transformation to the Kerr metric. The solution is asymptotically flat, of Petrov type D, it admits a regular axis and it is free from curvature singularities. In going around the axis one generally obtains a deficit angle, attributed to the presence of a rotating cosmic string, surrounded by gravitational radiation. Two notions - mass per unit length and C-energy - of measuring the strength of the string are considered and compared.

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