http://arxiv.org/abs/1008.2768(adsbygoogle = window.adsbygoogle || []).push({});

"To pursue our analysis further, we must determine more carefully the relationship between the renormalization scale µ and the density ρ. One appealing choice, advocated by Weinberg in his analysis of inﬂation in asymptotically safe gravity [3], is to take the renormalization group mass scale µ to be

µ ∼ [G(µ) ρ]^1/2 (3.8)

which has the appearance of the inverse of a “gravitational length” related to the energy density ρ andis equivalent to taking µ to be the inverse of the timescale over which the scale factor a(τ) changes."

One should treat G in a non perturbative way to avoid singularity.

So, it is like inflation counters a singularity, when gravitational collapse is treated non perturbatively

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How to avoid singularities in AS Gravity? Find non perturbative inflation!

**Physics Forums | Science Articles, Homework Help, Discussion**