Cosmic strings in Lyra geometry

Exact cylindrically-symmetric solutions of Sen equations both with and without the source term in Lyra geometry are presented. It is found that the exterior vacuum solution, when continuously joined to the interior solution describing the uniform density cylinder of finite radius, may represent a cosmic string. The rate of light deflection that is independent of the impact parameter suggests that the solution has the gravitational lensing property, and for typical values of the linear mass density it yields predictions similar to general relativity.