Stability of the Einstein static universe in Einstein-Cartan theory

Abstract

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

5 pages, 1 figure, to appear in JCAP

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• FRW in quadratic form of $f(T)$ gravitational theories
• Einstein-Cartan Cosmologies
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