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Cosmic strings and Einstein-Rosen soliton waves

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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 Thornes C-energy. The C-energy is found to be radiated along the null directions.

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GARRIGA TORRES, Jaume and VERDAGUER OMS, Enric. Cosmic strings and Einstein-Rosen soliton waves. Physical Review D. 1987. Vol. 36, num. 8, pags. 2250-2258. ISSN 0556-2821. [consulted: 24 of May of 2026]. Available at: https://hdl.handle.net/2445/12405

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