2014
DOI: 10.1140/epjc/s10052-014-2995-z
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Dark side of the universe in the Stephani cosmology

Abstract: We investigate the late time acceleration of the universe in the context of the Stephani model. This solution generalizes those of Friedmann-Lemaitre-RobertsonWalker (FLRW) in such a way that the spatial curvature is a function of time. We show that the inhomogeneity of the models can lead to an accelerated evolution of the universe that is analogous to that obtained with FLRW models through a cosmological constant or any exotic component for matter.

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Cited by 5 publications
(3 citation statements)
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References 36 publications
(47 reference statements)
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“…Slightly different discussion of the models with unfixed k is presented in (Sussman 2000;Hashemi et al 2014) in the frame of investigation of the Stephani universes with physically meaningful equations of state of matter.…”
Section: The Model Of the Universe With The Accelerated Expansionmentioning
confidence: 99%
“…Slightly different discussion of the models with unfixed k is presented in (Sussman 2000;Hashemi et al 2014) in the frame of investigation of the Stephani universes with physically meaningful equations of state of matter.…”
Section: The Model Of the Universe With The Accelerated Expansionmentioning
confidence: 99%
“…Stelmach and Jakacka produced a fairly comprehensive paper on nonhomogeneity of the universe driven its acceleration under a Stephani cosmology [48]. However, the formalism adopted is not very friendly to our purposes, so that we shall choose the formalism presented by Hashemi et al [14]. So, the metric is given by…”
Section: Stephani Cosmologymentioning
confidence: 99%
“…for k 0 = 0, ±1. Setting the ansatz (128) combined with the perfect uid expression into Einstein's equations we obtain the time-time component of eld equations An extensive derivation of some observational quantities which describe the evolutionary kinematics of the Stephani universe, such as Hubble parameter and deceleration parameter, can be found in reference [14]. From such derivations, for an inhomogeneous Stephani model featured by a time dependent curvature index, with solely dust as the lling up uid component (an oversimplication hardly acceptable), it was reported in the above reference an age of the universe notably larger than the estimated age provided by FLRW models with no exotic matter.…”
Section: (130)mentioning
confidence: 99%