The Einstein static universe in Loop Quantum Cosmology
نویسندگان
چکیده
Loop Quantum Cosmology strongly modifies the high-energy dynamics of Friedman-Robertson-Walker models and removes the big-bang singularity. We investigate how LQC corrections affect the stability properties of the Einstein static universe. In General Relativity, the Einstein static model with positive cosmological constant Λ is unstable to homogeneous perturbations. Using dynamical systems methods, we show that LQC modifications can lead to an Einstein static model which is neutrally stable for a large enough positive value of Λ. PACS numbers: 04.60.Pp, 03.65.Sq, 98.80.Qc, 02.70.-c The Einstein static universe in Loop Quantum Cosmology 2
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