This master thesis deals with the formation and evolution of black holes formed by dark matter inside a neutron star. Neutron stars are some of the densest objects in existence. Because of their relatively small size and their high mass, they exert an enormous gravitational attraction on the surrounding matter. This makes them excellent traps for dark matter particles. Should enough dark matter be accumulated inside the center of the star, there is a possibility that these particles can become self-gravitating and facilitate their own collapse into a black hole. The thesis addresses several issues regarding the entrapment of dark matter particles inside neutron stars. In addition it addresses the modifications on the Hawking radiation of mini black holes formed in neutron stars by dark matter particles due to the degeneracy of nuclear matter at the core of the star.