O. Iguchi et al., RENORMALIZATION-GROUP APPROACH TO THE EINSTEIN EQUATION IN COSMOLOGY, Physical review. D. Particles and fields, 57(6), 1998, pp. 3340-3350
The renormalization group method has been adapted to the analysis of t
he long-time behavior of the nonlinear partial differential equation a
nd has demonstrated its power in the study of critical phenomena of gr
avitational collapse. In the present work we apply the renormalization
group to the Einstein equation in cosmology and carry out a detailed
analysis of renormalization group flow in the vicinity of the scale in
variant fixed point in the spherically symmetric and inhomogeneous dus
t filled universe model.