Cosmic String Solution in a Born-Infeld Type Theory of Gravity

In this work we derive an exact solution for the exterior metric of a local cosmic string in an effective theory of gravity, the so-called NDL theory, which is inspired in the Born-Infeld theory. The solution is given by a family of parameters which presents quite different features from that of the General Relativity theory. The differences come from the specific choice of the gravitation Lagrangian which is based on a spin-1 construction of the gravitation theory.