Asymptotically Safe Cosmology

Details Asymptotically Safe Cosmology Asymptotically Safe Cosmology

2011-01-27

arxiv.org/abs/1101.5401v2

JCAP 1107:019,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages; v2: explanations and references added, accepted for publication in JCAP

Scientific paper

10.1088/1475-7516/2011/07/019

We study quantum modifications to cosmology in a Friedmann-Robertson-Walker universe with and without scalar fields by taking the renormalisation group running of gravitational and matter couplings into account. We exploit the Bianchi identity to relate the renormalisation group scale with scale factor and derive the improved cosmological evolution equations. We find two types of cosmological fixed points where the renormalisation group scale either freezes in, or continues to evolve with scale factor. We discuss the implications of each of these, and classify the different cosmological fixed points with and without gravity displaying an asymptotically safe renormalisation group fixed point. We state conditions of existence for an inflating ultraviolet cosmological fixed point for Einstein gravity coupled to a scalar field. We also discuss other fixed point solutions such as "scaling" solutions, or fixed points with equipartition between kinetic and potential energies.

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