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From big bang to asymptotic de Sitter: complete cosmologies in a quantum gravity framework. (English) Zbl 1236.83051

Summary: 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.

MSC:

83F05 Relativistic cosmology
83C45 Quantization of the gravitational field