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Non-wave Solutions of the Maxwell-Einstein Equations

Author

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  • Zayko, Yuriy

Abstract

This article is devoted to treating of non-wave, i.e. instanton solution for the Maxwell- Einstein equations. Equations for the field of instanton and metric are derived. Metric of pseudo-Euclid space which is corresponding to transition between degenerate classical vacua of problem and is connected with presence at the space infinity divergent and convergent spherical electromagnetic waves is studied. An expression of the instanton is received and it’s size is found. Value of pseudo-Euclid action is calculated. It is shown that instanton violates so called “week energetic condition” which is essential for space-time singularities proving.

Suggested Citation

  • Zayko, Yuriy, 2014. "Non-wave Solutions of the Maxwell-Einstein Equations," MPRA Paper 62999, University Library of Munich, Germany, revised 2014.
    • Handle: RePEc:pra:mprapa:62999
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    File URL: https://mpra.ub.uni-muenchen.de/62999/1/MPRA_paper_62999.pdf
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    More about this item

    Keywords

    Instanton; pseudo-Euclid space; classical vacuum; pseudo-Euclid action;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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