The Possibility of Inflation in Asymptotically Safe Gravity

Details The Possibility of Inflation in Asymptotically Safe Gravity The Possibility of Inflation in Asymptotically Safe Gravity

2011-08-30

arxiv.org/abs/1108.5886v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 6 figures

Scientific paper

We examine the inflationary modes in the cubic curvature theories in the context of asymptotically safe gravity. On the phase space of the Hubble parameter, there exists a critical point which corresponds to the slow-roll inflation in Einstein frame. Most of the e-foldings are attained around the critical point for each inflationary trajectories. If the coupling constants $g_i$ have the parametric relations generated as the power of the relative energy scale of inflation $H_0$ to the ultraviolet cutoff $\Lambda$, a successful inflation with more than 60 e-foldings occurs near the critical point. When the inflation energy scale is comparable to the cutoff, the quantum fluctuation could exit the inflationary phase with insufficient e-foldings.

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