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Abelian Higgs model with a Chern-Simons term in 3-dimensional gravitation. (English) Zbl 0692.53042

Summary: We consider the Abelian Higgs model with a Chern-Simons term coupled to the Einstein theory of gravitation in 3-dimensional space-time. We seek a finite solution, regular everywhere, having a stationary, cylindrically symmetric metric. We analyze these field equations and we suggest that such a solution exists. We find that the asymptotic metric of this solution corresponds to that which describes gravitationally a massive particle with spin. We obtain explicitly the expression of the spin. We give only the expression of the mass in the first order with respect to the gravitational coupling constant.

MSC:

53C80 Applications of global differential geometry to the sciences
83E30 String and superstring theories in gravitational theory
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