Linet, B. Abelian Higgs model with a Chern-Simons term in 3-dimensional gravitation. (English) Zbl 0692.53042 Gen. Relativ. Gravitation 22, No. 4, 469-479 (1990). 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. Cited in 1 Document MSC: 53C80 Applications of global differential geometry to the sciences 83E30 String and superstring theories in gravitational theory Keywords:Abelian Higgs model; Chern-Simons term; field equations; particle with spin; gravitational coupling constant PDFBibTeX XMLCite \textit{B. Linet}, Gen. Relativ. Gravitation 22, No. 4, 469--479 (1990; Zbl 0692.53042) Full Text: DOI References: [1] Kibble, T. W. B. (1976).J. Phys.,A9, 183. [2] Vilenkin, A. (1985).Phys. Rep.,121, 263. · Zbl 0966.83541 · doi:10.1016/0370-1573(85)90033-X [3] Nielsen, H. B., and Olesen, P. (1973).Nucl. Phys.,B61, 45. · doi:10.1016/0550-3213(73)90350-7 [4] Julia, B., and Zee, A. (1975).Phys. Rev. D,11, 2227. · doi:10.1103/PhysRevD.11.2227 [5] Garfinkle, D. (1985).Phys. Rev. D,32, 1323. · doi:10.1103/PhysRevD.32.1323 [6] Laguna-Castillo, P., and Matzner, R. A. (1987).Phys. Rev. D,36, 3663. · doi:10.1103/PhysRevD.36.3663 [7] Gregory, R. (1987).Phys. Rev. Lett.,59, 740. · doi:10.1103/PhysRevLett.59.740 [8] Linet, B. (1987).Phys. Lett.,A124, 240. · doi:10.1016/0375-9601(87)90629-3 [9] Futamase, T., and Garfinkle, D. (1988).Phys. Rev. D,37, 2086. · doi:10.1103/PhysRevD.37.2086 [10] Garfinkle, D., and Laguna, P. (1989).Phys. Rev. D,39, 1552. · doi:10.1103/PhysRevD.39.1552 [11] Jackiw, R. (1984). InRelativity Groups and Topology II, R. Stora and B. S. DeWitt, eds. (North-Holland, Amsterdam), p. 221. [12] Paul, S. K., and Khare, A. (1986).Phys. Lett.,B174, 420; (E),B182, 415. · doi:10.1016/0370-2693(86)91028-2 [13] De Vega, H. J., and Schaposnik, F. A. (1986).Phys. Rev. Lett.,56, 2564;Phys. Rev. D,34, 3206. · doi:10.1103/PhysRevLett.56.2564 [14] Kumar, C., and Khare, A. (1986).Phys. Lett.,B178, 395. · doi:10.1016/0370-2693(86)91400-0 [15] Inozemtsev, V. I. (1988).Europhys. Lett.,5, 113. · doi:10.1209/0295-5075/5/2/004 [16] Lozano, G., Manias, M. V., and Schaposnik, F. A. (1988).Phys. Rev. D,38, 601. · doi:10.1103/PhysRevD.38.601 [17] Staruszkiewicz, A. (1963).Acta Phys. Polon.,24, 735. [18] Deser, S., Jackiw, R., and ’t Hooft, G. (1984).Ann. Phys.,152, 220. · doi:10.1016/0003-4916(84)90085-X [19] Gott, J. R., and Alpert, M. (1984).Gen. Rel Grav.,16, 243. · doi:10.1007/BF00762539 [20] Giddings, S., Abbott, J., and Kuchar, K. (1984).Gen. Rel. Grav.,16, 751. · Zbl 0541.53021 · doi:10.1007/BF00762914 [21] Clément, G. (1985).Int. J. Theor. Phys.,24, 267. · doi:10.1007/BF00669791 [22] Deser, S., and Laurent, B. (1986).Gen. Rel. Grav.,18, 617. · doi:10.1007/BF00769930 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.