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Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Article

The field of the electromagnetic knot and the Sparling-Tod metrics

Published: 08.10.2014

Authors: Trishin V.N.

Published in issue: #9(33)/2014

DOI: 10.18698/2308-6033-2014-9-1244

Category: Basic science | Chapter: Physics

The article considers explicit anti-selfdual solutions of complex Einstein equations constructed from null Maxwell fields. It is shown that the solution of source-free Maxwell equations describing electromagnetic unit corresponds to well-known Sparling-Tod metrics.


References
[1] Tod K.P. Self-dual Kerr-Schild metrics and null Maxwell fields. Journal of Mathematical Physics, 1982, vol. 23, pp. 1147-1148.
[2] Penrose R., Rindler W. Spinors and space-time. Vol. 2. Spinor and Twistor Methods in Space-Time Geometry. Cambridge etc., Cambridge University Press, 1986. IX, 501 p., ISBN 0-521-25267-9.
[3] Dunajski M. Solitons, instantons, and twistors. Oxford, OUP, 2010, 359 p.
[4] Plebanski J. Some solutions of complex Einstein equations. Journal ofMathematical Physics, 1975, vol. 16, pp. 2395-2402.
[5] Robinson I. Null electromagnetic fields. Journal of Mathematical Physics, 1961, vol. 2, pp. 290-291.
[6] Nagatomo K. On a construction of null electromagnetic fields. Osaka Journal of Mathematics, 1983, vol. 20, pp. 285-301.
[7] Dalhuisen J.W., Bouwmeester D. Twistors and electromagnetic knots. Journal of Physics, 2012, vol. A45, pp. 135201-135209.
[8] Sparling G.A.J., Tod K.P. An example of an H-space. Journal of Mathematical Physics, 1981, vol. 22, pp. 331-332.