2002/03/07 by Yasusada Nambu · 21 citations
Physics and Astronomy · #Astrophysics #Back-reaction #Big Rip #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #Einstein #Einstein field equations #Flatness problem #Friedmann equations #Galaxies: Formation, Evolution, Phenomena #Mathematical physics #Metric expansion of space #Perfect fluid #Physics #Scale factor (cosmology) #Universe #gr-qc
paper · pdf · doi:10.1103/physrevd.65.104013
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 65(10) (American Physical Society) · 16 pages, to appear in Phys. Rev. D
arxiv created 2002/03/07 · openalex publication_date 2002/04/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.