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 [Formula: see text] and represent a cyclic universe. The integrals of motion for both systems are found and their Hamiltonian structure determined.

中文翻译：

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环量子宇宙学中爱因斯坦宇宙的稳定性分析

提出了爱因斯坦宇宙在经典广义相对论和半经典环量子宇宙学体系中的稳定性分析。由于环量子引力校正，广义相对论模型的稳定性特性发生了显着变化。在这些修改的基础上考虑了两个动力系统之间的比较。环量子宇宙学解决方案仅限于开放宇宙模型[公式：见正文]并表示循环宇宙。找到了两个系统的运动积分并确定了它们的哈密顿结构。