Abstract
The gravitational field of a straight U(1)-gauge cosmic string is investigated within the linear approximation to the gravitational theories with Lagrangian densities L= square root (-g)(R+((aR2)/2)+bRmu vRmu v)-2 kappa square root (-g) Lsource. The metric of a straight infinitely thin string is obtained in closed form. The gravitational properties of this metric are explored. It is found that a short range gravitational force is exerted on a slowly moving test particle, a feature not present in general relativity. The deflection of a light ray travelling in a plane orthogonal to the string is also determined.
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