2020
DOI: 10.1142/s0217751x20400370
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Accelerated expansion of the universe from the perspective of inhomogeneous cosmology

Abstract: We present a special case of the Stephani solution with spherical symmetry while considering different values of spatial curvature. We investigate the dynamics of the universe evolution in our model, build the R-T-regions for the resulting spacetime and analyze the behavior of the deceleration parameter. The singularities of the model are also discussed. The geometry of the spatial part of the obtained solution is explored.

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Cited by 3 publications
(5 citation statements)
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“…Thus ( 38) is consistent with the observational value for the late time (t → ∞) acceleration of the universe. The interesting aspect is that this has been derived by developing a k-essence model for inhomogeneous cosmology [26,27,28,29,30,31,32]. This result is very encouraging as all other relevant k-essence model for late time acceleration of the universe were basically based on FLRW metric for homogeneous cosmology.…”
Section: Flrw Metricmentioning
confidence: 91%
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“…Thus ( 38) is consistent with the observational value for the late time (t → ∞) acceleration of the universe. The interesting aspect is that this has been derived by developing a k-essence model for inhomogeneous cosmology [26,27,28,29,30,31,32]. This result is very encouraging as all other relevant k-essence model for late time acceleration of the universe were basically based on FLRW metric for homogeneous cosmology.…”
Section: Flrw Metricmentioning
confidence: 91%
“…This also satisfies dark energy pressure condition which is negative i.e., negative pressure generates late time cosmic acceleration [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50].…”
Section: Equation Of State Parameter ωmentioning
confidence: 92%
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“…The Stephani solution [2] is among them. It allows building of the model of the universe with accelerated expansion within general relativity with no modifications or suggestions of the exotic types of matter [3][4][5][6][7][8]. This is a non-static solution for expanding perfect fluid with zero shear and rotation, which contains the known Friedmann solution as a particular case.…”
Section: Introductionmentioning
confidence: 99%
“…Periodically the attempts arise to involve the Stephani solution in solving the problem of the cosmological acceleration within general relativity with no modifications or suggesting the exotic types of matter [1][2][3][4][5][6][7].…”
Section: Introductionmentioning
confidence: 99%