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Research Article Open access CC BY 3.0

Non-wave Solutions of the Maxwell-Einstein Equations

Yuriy N. Zayko

Physical Science International Journal · pp. 1280–1292 · Published 16 Aug 2014

10.9734/PSIJ/2014/12654

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.  

Instanton pseudo-Euclid space classical vacuum pseudo-Euclid action

References (7)

  1. 1 The Large Scale Structure of Space-Time [DOI]
  2. 2 The Classical Theory of Fields [DOI]
  3. 3 Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory
  4. 4 Gravitation and Relativity [DOI]
  5. 5 Quantum field theory and topology
  6. 6 Instanton for the Maxwell–Einstein Equations [DOI]
  7. 7 Mathematical Methods for Physicists [DOI]

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