Does rotation generate a massive string ?

Abstract

The properties of a stationary massive string endowed with intrinsic angular momentum are investigated. The spacetime is generated by an "improper" time translation combined with uniform rotation. The mass per unit length of the string is proportional to the angular velocity $\omega$. The spacetime is Minkowskian geometrically but the topology is nontrivial thanks to the event horizon located on the surface $r=0$ (similar with Rindler's spacetime) and to the deficit angle generated by rotation. The Sagnac time delay is calculated. It proves to be nonvanishing even when $\omega =0$ due to the intrinsic spin of the string.

arXiv comment4 pages, minor changes, talk given at the XXIXth Spanish Relativity Meeting (ERE 2006), Palma de Mallorca, Spain, Sept. 4 - 8, 2006, appeared in Jour. Phys. : Conf. Ser. 66 (2007) 012055

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