<p>Petrov homogeneous null spaces are considered. Using vector fields of the canonical reper, the vacuum Maxwell equations and the nonholonomic components of the momentum energy tensor of the electromagnetic field are derived. Examples of integration of these equations for spaces with motion groups of the first and second type according to the Bianchi classification are given.</p>

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Maxwell and Einstein-Maxwell equations for homogeneous null Petrov spaces

  • V. V. Obukhov

摘要

Petrov homogeneous null spaces are considered. Using vector fields of the canonical reper, the vacuum Maxwell equations and the nonholonomic components of the momentum energy tensor of the electromagnetic field are derived. Examples of integration of these equations for spaces with motion groups of the first and second type according to the Bianchi classification are given.