The Einstein static universe in loop quantum cosmology

L. Parisi, Marco Bruni, Roy Maartens, K. Vandersloot

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Abstract

Loop quantum cosmology (LQC) strongly modifies the high-energy dynamics of Friedmann–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 system methods, we show that LQC gravitational modifications can lead to an Einstein static model which is neutrally stable for a large enough positive value of Λ.
Original languageEnglish
Pages (from-to)6243-6253
Number of pages11
JournalClassical and Quantum Gravity
Volume24
Issue number24
DOIs
Publication statusPublished - 2007

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