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The Einstein static universe in loop quantum cosmology

Luca Parisi1,2,3, Marco Bruni3,4,5, Roy Maartens3 and Kevin Vandersloot3

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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.


PACS

98.80.Qc Quantum cosmology

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

04.20.Jb Exact solutions

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

04.20.Dw Singularities and cosmic censorship

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

83F05 Cosmology

85A40 Cosmology (For relativistic cosmology, see 83F05)

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83C75 Space-time singularities, cosmic censorship, etc.

83C45 Quantization of the gravitational field

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 24 (21 December 2007)

Received 9 September 2007, in final form 24 October 2007

Published 27 November 2007



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