Stability of the Einstein static universe in Einstein-Cartan theory

Abstract

The existence and stability of the Einstein static solution have been built\nin the Einstein-Cartan gravity. We show that this solution in the presence of\nperfect fluid with spin density satisfying the Weyssenhoff restriction is\ncyclically stable around a center equilibrium point. Thus, study of this\nsolution is interesting because it supports non-singular emergent cosmological\nmodels in which the early universe oscillates indeterminately about an initial\nEinstein static solution and is thus past eternal.\n