Black hole in Nielsen-Olesen vortex

In this article, we calculate the classical vortex solution of a spontaneously broken gauge theory interacting with gravity in (2+1)-dimension. We also conditions for formation (2+1)-dimensional black hole due to magnetic (a Nielsen-Olesen vortex). The semiclassical Hawking temperature is calculated, where see that BTZ increases or decreases without changing size horizon if insert fields hole. Finally, first law thermodynamics described particular solution, which shows additional work terms from scalar and compensate change relative its usual value solution.