Luca Parisi et al 2007 Class. Quantum Grav. 24 6243 doi:10.1088/0264-9381/24/24/007
Luca Parisi1,2,3, Marco Bruni3,4,5, Roy Maartens3 and Kevin Vandersloot3
Show affiliationsLoop 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.
04.60.Pp Loop quantum gravity, quantum geometry, spin foams
85A40 Cosmology (For relativistic cosmology, see 83F05)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 24 (21 December 2007)
Received 9 September 2007, in final form 24 October 2007
Published 27 November 2007
Luca Parisi et al 2007 Class. Quantum Grav. 24 6243
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