Ruback, P. J. The motion of Kaluza-Klein monopoles. (English) Zbl 0603.58045 Commun. Math. Phys. 107, 93-102 (1986). A scheme is proposed and justified for examining the motion of the five dimensional Kaluza-Klein monopoles at low energy. The classical and quantum scattering is discussed and it is shown that for all separations and at small velocities the monopoles do not interact with one another. Cited in 14 Documents MSC: 58J90 Applications of PDEs on manifolds 83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems) Keywords:Kaluza-Klein monopoles; quantum scattering PDFBibTeX XMLCite \textit{P. J. Ruback}, Commun. Math. Phys. 107, 93--102 (1986; Zbl 0603.58045) Full Text: DOI References: [1] Manton, N.S.: A remark on the scattering of BPS monopoles. Phys. Lett.110 B, 54 (1982); · Zbl 1190.81087 [2] Manton, N.S.: Monopole interactions at long range. Phys. Lett.154 B, 397 (1985); [3] Atiyah, M.F., Hitchin, N.J.: Low energy scattering of non-abelian monopoles. Phys. Lett.107 A, 21 (1985) · Zbl 1177.53069 [4] Ward, R.: Slowly-moving lumps in the CP1 model in (2+1) dimensions. Phys. Lett.158 B, 424 (1985) [5] Kaluza, T.: Sitzungsber. Preuss. Akad. Wiss. Phys. Math.121, 996 (1921) [6] Klein, O.: Quantentheorie und fünfdimensionale Relativitätstheorie. Z. Phys.37, 895 (1926) · JFM 52.0970.09 [7] Gross, D.J., Perry, M.J.: Magnetic monopoles in Kaluza-Klein theories. Nucl. Phys. B226, 29 (1983) [8] Sorkin, R.: Kaluza-Klein monopole. Phys. Rev. Lett.51, 87 (1983) [9] Gibbons, G.W., Hawking, S.W.: Gravitational multi-instantons. Phys. Lett.78 B, 432 (1978) [10] Scherk, J.: Antigravity: A crazy idea? Phys. Lett.88B, 265 (1979) [11] Fischer, A.E.: The theory of superspace. In: Relativity, Carmeli, M., Fickler, S.I., Witten, L. (eds.). New York: Plenum Press 1970 · Zbl 0191.04301 [12] Landau, L.D., Lifschitz, E.M.: The classical theory of fields. Oxford: Pergamon 1975 [13] Gibbons, G.W., Pope, C.N.: Positive action theorems for ALF spaces (1981) unpublished [14] Hawking, S.W., Pope, C.N.: Symmetry breaking by instantons in supergravity. Nucl. Phys. B146, 381 (1978) [15] Page, D.N.: Private communication; Yuille, A.L., PhD. Thesis, University of Combridge (1980) unpublished [16] Gibbons, G.W., Perry, M.J.: Soliton supermultiplets and Kaluza-Klein theory. Nucl. Phys. B248, 629 (1984) 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.