A study of asymptotic behavior of homogeneous cosmological models with a varying cosmological constant in Einstein-Cartan theory: Cosmic no-hair theorem (Q1398102)

This paper studies the no-hair conjecture for Bianchi cosmologies with a variable cosmological parameter \(\Lambda\) in the setting of Einstein-Cartan theory. It establishes that for Bianchi models (except for type IX), when \(\Lambda\) is assumed to be proportional to the square of the extrinsic curvature scalar (plus a constant), then a power law (resp.\ an exponential law) results for the expansion of the universe. For late times the universe isotropizes in both cases. Moreover, in both cases the global properties of the spacetime are very different from its local behavior, which resembles Einstein static in the first and de Sitter in the second case.