The back reaction and the effective Einstein's equation for the Universe with ideal fluid cosmological perturbations

Details The back reaction and the effective Einstein's equation for the Universe with ideal fluid cosmological perturbations The back reaction and the effective Einstein's equation for the Universe with ideal fluid cosmological perturbations

2002-03-07

arxiv.org/abs/gr-qc/0203023v1

Phys.Rev. D65 (2002) 104013

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.65.104013

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's 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 Friedman-Robertson-Walker equation with the effective energy density and pressure which represent the back reaction effect.

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