Toward a No-go Theorem for Accelerating Universe by Nonlinear Backreaction
Abstract
Backreaction of nonlinear inhomogeneities to the cosmic expansion is re-analyzed in the framework of general relativity. Apparent discrepancies on the effect of the nonlinear backreaction, which have existed among previous works in different gauges, are cleared up. 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 ones done 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 due to nonlinear backreaction via averaging.Keywords
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