Abstract
We investigate the back reaction of cosmological perturbations on the evolution of the Universe using the renormalization group method. Starting from the second order perturbed Einstein equation, we renormalize a scale factor of the Universe and derive the evolution equation for the effective scale factor which includes back reaction due to inhomogeneities of the Universe. The resulting equation has the same form as the standard Friedmann-Robertson-Walker equation with the effective energy density and pressure which represent the back reaction effect.
- Received 1 February 2002
DOI:https://doi.org/10.1103/PhysRevD.65.104013
©2002 American Physical Society