Cylindrically symmetric cosmological solutions of the Lyttleton-Bondi universe

Mathematics

Scientific paper

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Astronomical Models, Cosmology, Field Theory (Physics), Metric Space, Space-Time Functions, Celestial Geodesy, Electromagnetic Fields, Geodesy, Particle Motion, Radial Velocity, Relativistic Theory, Singularity (Mathematics), Symmetry, Tensors, Universe

Scientific paper

The exterior field of the Einstein-Rosen cylindrically symmetric metric in the Lyttleton-Bondi universe is considered and exact solutions are obtained in some specific situations. The solutions exhibit singularities on the z-axis as well as at spatial infinity. The geodesic path of a test particle exhibits a spiral structure around the axis of symmetry.

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