Cosmic strings and Einstein-Rosen soliton waves

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Exact Solutions, Other Topics On Stellar Systems, Interstellar Medium, Galactic And Extragalactic Objects And Systems, The Universe

Scientific paper

We consider all generalized soliton solutions of the Einstein-Rosen form in the cylindrical context. They are Petrov type-I solutions which describe solitonlike waves interacting with a line source placed on the symmetry axis. Some of the solutions develop a curvature singularity on the axis which is typical of massive line sources, whereas others just have the conical singularity revealing the presence of a static cosmic string. The analysis is based on the asymptotic behavior of the Riemann and metric tensors, the deficit angle, and a C-velocity associated to Thorne's C-energy. The C-energy is found to be radiated along the null directions.

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