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A stability analysis of Einstein’s universe in both classical General Relativity and semiclassical Loop Quantum Cosmology regimes is presented. The stability properties of the General Relativity model are significantly altered due to Loop Quantum Gravity corrections. Comparisons between both dynamical systems are considered on the basis of these modifications. The Loop Quantum Cosmology solutions are restricted to an open universe model (k = -1) and represent a cyclic universe. The integrals of motion for both systems are found and their Hamiltonian structure determined.
E. McCaughey, Stability analysis of Einstein's universe in loop quantum cosmology, International Journal of Modern Physics A, Volume 35, Number 28 2020, DOI: 10.1142/S0217751X20501663