http://arxiv.org/abs/1409.1523
We consider spherically symmetric inhomogeneous Stephani universes, the center of symmetry being our location. We emphasize that in these models comoving observers do not follow geodesics, in particular comoving perfect fluids have necessarily a radial dependent pressure. We consider a subclass of these models characterized by some inhomogeneity parameter $\beta$. We show that also the velocity of sound, like the (effective) equation of state parameter, of comoving perfect fluids acquire away from the origin a time and radial dependent change proportional to $\beta$. In order to produce a realistic universe accelerating at late times without dark nergy component one must take $\beta < 0$. The redshift gets a modified dependence on the scale factor $a$ with a relative modification of $-9\%$ peaking at $z\sim 4$ and vanishing at the Big bang and today on our past lightcone. The equation of state parameter and the speed of sound of dustlike matter (corresponding to a vanishing pressure at the center of symmetry $r=0$) behave in a similar way and away from the center of symmetry they become negative, a property usually encountered for the dark energy component only. In order to mimic the observed late-time accelerated expansion the matter component must significantly depart from standard dust, presumably ruling this model out as a realistic cosmology. The only way to accept these models is to keep all standard matter components of the universe including dark energy and take an inhomogeneity parameter $\beta$ small enough.
A. Balcerzak, M. Dabrowski, T. Denkiewicz, et. al.
Fri, 5 Sep 14
5/69
Comments: REVTEX4-1, 12 pages, 6 figures. arXiv admin note: text overlap with arXiv:1210.6331
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