Gravitational collapse of spherically symmetric clusters of rotating particles

The end state of the gravitational collapse of spherically symmetric clusters of rotating particles, of the type first introduced by Einstein, is discussed here. For the marginally bound initial data the spectrum of naked singularities versus blackholes formation depends on two parameters, the “strength” of the angular momentum and the degree of inhomogeneity. For the first time, a structure confirming “genericity” of naked singularities formation in the case of a non-pressureless equation of state arises. Some recent results on this system are re-analyzed and the previously unknown nature of the singularities in their dust limit is obtained. E-mail : [email protected] E-mail : [email protected]