The Possibility of Inflation in Asymptotically Safe Gravity

TL;DR

This paper explores the potential for inflation within asymptotically safe gravity by analyzing cubic curvature theories, identifying conditions under which sufficient e-foldings for inflation can occur near a critical phase space point.

Contribution

It demonstrates that asymptotically safe gravity can support inflation with enough e-foldings, highlighting the role of coupling constants and phase space critical points.

Findings

Existence of a critical point corresponding to slow-roll inflation.

Most e-foldings are achieved near the critical point.

Successful inflation with over 60 e-foldings is possible under certain coupling relations.

Abstract

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.