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Interacting electromagnetic waves in general relativity

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Abstract

The problem is considered of finding exact solutions of the Einstein-Maxwell equations which describe the physical situation of two colliding and subsequently interacting electromagnetic waves. The general theory of relativity predicts a nonlinear interaction between electromagnetic waves. The situation is described using an approximate geometrical method, and a new exact solution describing two interacting electromagnetic waves is given. This describes waves emitted from two sources mutually focusing each other on the opposite source.

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References

  • Bell, P., and Szekeres, P. (1974).General Relativity and Gravitation,5, 275.

    Google Scholar 

  • Debney, G. C., and Zund, J. D. (1971).Tensor, N.S.,22, 333.

    Google Scholar 

  • Griffiths, J. B. (1975a).Mathematical Proceedings of the Cambridge Philosophical Society,77, 559.

    Google Scholar 

  • Griffiths, J. B. (1975b).International Journal of Theoretical Physics,13, 9.

    Google Scholar 

  • Griffiths, J. B. (1976).Journal of Physics, A,9, 1273.

    Google Scholar 

  • Jordan, P., Ehlers, J., and Sachs, R. (1961).Akademie der Wissenschaften and der Literatur, Mainz, Mathematisch Naturwissenschaftliche Klasse, No.1.

  • Khan, K. A., and Penrose, R. (1971).Nature,229, 185.

    Google Scholar 

  • Mariot, L. (1954).Comptes Rendus, Paris,238, 2055.

    Google Scholar 

  • Newman, E., and Penrose, R. (1962).Journal of Mathematical Physics,3, 566.

    Google Scholar 

  • Newman, E., and Penrose, R. (1963).Journal of Mathematical Physics,4, 998.

    Google Scholar 

  • O'Brien, S., and Synge, J. L. (1952).Proceedings of the Dublin Institute of Advanced Studies, A9.

  • Papini, G. (1974).Canadian Journal of Physics,52, 880.

    Google Scholar 

  • Penrose, R. (1966).Perspectives in Geometry and Relativity, Hoffman, B., ed., Chap. 27. (Indiana U.P., Bloomington).

    Google Scholar 

  • Robinson, I. (1961).Journal of Mathematical Physics,2, 290.

    Google Scholar 

  • Robson, E. H. (1973).Annales de l'Institut Henri Poincaré,A18, 77.

    Google Scholar 

  • Rosen, N. (1937).Physikalische Zeitschrift der Sowjetunion,12, 366.

    Google Scholar 

  • Sachs, R. K. (1962).Journal of Mathematical Physics,3, 908.

    Google Scholar 

  • Szekeres, P. (1965).Journal of Mathematical Physics,6, 1387.

    Google Scholar 

  • Szekeres, P. (1970).Nature,228, 1183.

    Google Scholar 

  • Szekeres, P. (1972).Journal of Mathematical Physics,13, 286.

    Google Scholar 

  • Tariq, N., and Tupper, B. O. J. (1974).Tensor, N.S. 28, 83.

    Google Scholar 

  • Trim, D. W. (1972). “Neutrino and Electromagnetic Fields in Curved Space-Time.” (Ph.D. Thesis, University of Waterloo).

  • Weber, J. (1969).Physical Review Letters,22, 1320.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Technology, Loughborough, Leicestershire, England

    J. B. Griffiths

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  1. J. B. Griffiths
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Griffiths, J.B. Interacting electromagnetic waves in general relativity. Int J Theor Phys 15, 529–540 (1976). https://doi.org/10.1007/BF01809506

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  • DOI: https://doi.org/10.1007/BF01809506

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