Cosmologic solution of scalar and spinorial interactive fields with the dark energy pattern and a magnetic primordial not perturbed field in an anisotropic space-time of Petrov D

Abstract

In this document analyzes and obtains an exact solution to interactive and self-consistent spinorial and scalar fields with their interaction of fields, of the type dark energy, and a magnetic primordial field, where the magnetic field that do not induce electric currents or fields. It is obtained that the solution, from the geometrical point of view, is equivalent to the one obtained for a dark energy fluid and a primordial magnetic field. It is determined that the function of the scalar field φ and the phase of the spinorial field G are proportional in all the values of t, which establishes a kind of exclusive property of the dark energy under the conditions of the interactive and self-consistent spinorial and scalar fields. It is concluded that the influence of the magnetic field under this spinorial and scalar fields is relevant for short periods.