# instanton

## Instanton for the Maxwell–Einstein Equations

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.

## An Explicit Solutions of the Maxwell-Einstein Equations

This article concerns the effect of gravitation field of the spherical electro-magnetic wave (EMW) on its propagation in vacuum. For this it was received a solution of the coupled Maxwell-Einstein equations. The expression for metric is supposed to be just the same as in wellknown Schwarzschild problem for gravitation field at the vicinity of point mass with additional dependence on polar angle 9. The equations for radial and angular parts of EMW fields of ТЕ- and TM-types are received. Their various solutions are Investigated.