Accretion Effects in A Globular Cluster

From the general theory of relativity,the accretion effects of the black hole in a globular cluster are considered,the evolution of the core region of the cluster is studied and the evolution equations have been obtained.The results.,show that when there is a massive black hole at the centre of the globular cluster,the core will rapidly contract and radiate X-rays,and that when there is no black hole or only a black hole with small mass at the centre,the core will expand and can not radiate any X-ray.