Exact relativistic cylindrical solution of disordered radiation

Physics

Scientific paper

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Field Theory (Physics), Radiation Distribution, Relativity, Electromagnetic Radiation, Energy Distribution, Geodesic Lines, Gravitational Fields, Stellar Radiation, Symmetry

Scientific paper

A source-free disordered distribution of electromagnetic radiation is considered in the framework of Einstein's theory, and a time-independent exact solution with cylindrical symmetry is obtained. The gravitation and pressure effects of the radiation alone are sufficient to give the distribution an equilibrium. A finite maximum concentration is found on the axis of symmetry; this concentration decreases monotonically to zero outwards. Timelike and null geodesics are discussed.

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