метрика

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.

Explicit Solutions of the Maxwell−Einstein Equations. II

Authors: Zayko Y. N.

This article is a continuation of the previous author's article on the same problem [1], Here choice of metrics discusses in detail, so as another possible metrics, like generalization of the Schwarzschild metric of massive body due to radiation of electromagnetic wave. A problem of lowering the initially spherical symmetry to axial one in solution’s level for Einstein−Maxwell (or Maxwell) equations due to fixation of z-axis of coordinate system and its recovery with the help of zero-modes is discussed.