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JOURNALS // Izvestiya of Saratov University. Physics // Archive

Izv. Sarat. Univ. Physics, 2014 Volume 14, Issue 2, Pages 29–35 (Mi isuph208)

Physics

Instanton for the Maxwell–Einstein equations

Yu. N. Zaiko

Russian Academy of National Economy and Public Administration under the President of the Russian Federetion, P. A. Stolypin Volga Management Institute

Abstract: In this article instanton solution for the Maxwell–Einstein equations is investigated. Equations for the field of instanton and metrics are derived. Metrics of pseudoeuclidean 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 pseudoeuclidean action is calculated. It is shown that instanton violates so called «week energetic condition» which is essential for space-time singularities proving.

Keywords: instanton, pseudo-Euclid space, classical vacuum, pseudo-Euclid action.

UDC: 537.8, 531.51

DOI: 10.18500/1817-3020-2014-14-2-29-35



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