Homogeneous solutions of the Einstein equations with an ideal charged fluid

Mathematics – Group Theory

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Astronomical Models, Einstein Equations, Relativistic Plasmas, Space-Time Functions, Flow Velocity, Group Theory, Ideal Fluids, Maxwell Equation, Vector Analysis

Scientific paper

The paper examines V4 space-times with an ideal charged fluid as a source, admitting groups of motions Gr, r not less than 4. It is assumed that the velocity vector of the fluid is directed along the timelike Killing vector of the group. A complete analysis of space-times using the Einstein-Maxwell equations is carried out for a G4 group acting on V4 and for groups of higher mobility. Exact solutions are obtained for groups of fourth and fifth orders.

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