Prog. Theor. Phys. Vol. 115 No. 4 (2006) pp. 827-832

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Letters

Toward a No-Go Theorem for an Accelerating Universe through a Nonlinear Backreaction

Masumi Kasai,^1,^* Hideki Asada^1,^** and Toshifumi Futamase^2,^***

¹Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan
²Astronomical Institute, Tohoku University, Sendai 980-8578, Japan

(Received January 6, 2006)

Abstract:

The backreaction of nonlinear inhomogeneities to the cosmic expansion is re-analyzed in the framework of general relativity. Apparent discrepancies regarding the effect of the nonlinear backreaction, which exist among the results of previous works in different gauges, are resolved. By defining the spatially averaged matter energy density as a conserved quantity in the large comoving volume, it is shown that the nonlinear backreaction neither accelerates nor decelerates the cosmic expansion in a matter-dominated universe. The present result in the Newtonian gauge is consistent with the previous results obtained in the comoving synchronous gauge. Although our work does not give a complete proof, it strongly suggests the following no-go theorem: No cosmic acceleration occurs as a result of the nonlinear backreaction via averaging.

URL : http://ptp.ipap.jp/link?PTP/115/827/
DOI : 10.1143/PTP.115.827

^*E-mail: kasai@phys.hirosaki-u.ac.jp
^**E-mail: asada@phys.hirosaki-u.ac.jp
^***E-mail: tof@astr.tohoku.ac.jp

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Citing Article(s) :

Progress of Theoretical Physics Vol. 117 No. 1 (2007) pp. 183-188 :
A Phantom Does Not Result from a Backreaction

Hisako Tanaka and Toshifumi Futamase
Progress of Theoretical Physics Vol. 117 No. 2 (2007) pp. 229-240 :
Can Inhomogeneities Accelerate the Cosmic Volume Expansion?

Tomohiro Kai, Hiroshi Kozaki, Ken-ichi Nakao, Yasusada Nambu and Chul-Moon Yoo
Progress of Theoretical Physics Vol. 124 No. 1 (2010) pp. 163-180 :
Analytic Formulae for the Off-Center CMB Anisotropy in a General Spherically Symmetric Universe

Hideo Kodama, Keiki Saito and Akihiro Ishibashi