From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework

Abstract

Using the Einstein-Hilbert approximation of asymptotically safe quantum gravity we present a consistent renormalization group based framework for the inclusion of quantum gravitational effects into the cosmological field equations. Relating the renormalization group scale to cosmological time via a dynamical cutoff identification this framework applies to all stages of the cosmological evolution. The very early universe is found to contain a period of ``oscillatory inflation'' with an infinite sequence of time intervals during which the expansion alternates between acceleration and deceleration. For asymptotically late times we identify a mechanism which prevents the universe from leaving the domain of validity of the Einstein-Hilbert approximation and obtain a classical de Sitter era.

47 pages, 17 figures

References in corpus (10)

• Cosmology and the Fate of Dilatation Symmetry
• Exact evolution equation for the effective potential
• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Quantum Gravity at Astrophysical Distances?
• Running Newton Constant, Improved Gravitational Actions, and Galaxy Rotation Curves
• Gravitational Theory, Galaxy Rotation Curves and Cosmology without Dark Matter
• Proper Time Flow Equation for Gravity
• Semiclassical Universe from First Principles
• Renormalization-group running cosmologies - a scale-setting procedure
• Variable G and $\Lambda$: scalar-tensor versus RG-improved cosmology

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