Back reaction and the effective Einstein equation for the universe with ideal fluid cosmological perturbations

Yasusada Nambu
Phys. Rev. D 65, 104013 – Published 30 April 2002
PDFExport Citation

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

Authors & Affiliations

Yasusada Nambu*

  • Department of Physics, Graduate School of Science, Nagoya University, Chikusa, Nagoya 464-8602, Japan

  • *Electronic address: nambu@allegro.phys.nagoya-u.ac.jp

References (Subscription Required)

Click to Expand
Issue

Vol. 65, Iss. 10 — 15 May 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×