The separate universe and the back reaction of long wavelength fluctuations

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages. to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.71.084016

We investigate the backreaction of cosmological long wavelength perturbations on the evolution of the Universe. By applying the renormalization group method to a Friedmann-Robertson-Walker universe with long wavelength fluctuations, we demonstrate that the renormalized solution with the backreaction effect is equivalent to that of the separate universe. Then, using the effective Friedmann equation, we show that only non-adiabatic mode of long wavelength fluctuations affects the expansion law of the spatially averaged universe.

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