Abstract

We present cylindrically symmetric solutions of the Einstein–Maxwell electrovacuum equations, considering a δ=2 Tomimatsu–Sato solution, describing a cylindrical symmetric space–time. The solutions exhibit an angle deficit, are asymptotically flat, smooth everywhere without curvature singularities and for various values of the parameters may be interpreted as open cosmic strings with gravity and electromagnetism coupled in a relativistic manner.

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