Problems of CosmologyNo Access

Accelerated expansion of the universe from the perspective of inhomogeneous cosmology

Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezrucovo Namesti 13, Opava, 746 01, Czech Republic

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Joliot-Curie 6, Dubna, 141980, Moscow Region, Russia

E-mail Address: q_Leex@mail.ru

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Elena Kopteva

Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezrucovo Namesti 13, Opava, 746 01, Czech Republic

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Mariia Churilova

Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezrucovo Namesti 13, Opava, 746 01, Czech Republic

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Zdenek Stuchlik

Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezrucovo Namesti 13, Opava, 746 01, Czech Republic

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https://doi.org/10.1142/S0217751X20400370Cited by:2 (Source: Crossref)

This article is part of the issue:

SPECIAL ISSUE — Selected papers from the Tenth Alexander Friedmann International Seminar on Gravitation and Cosmology, Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg, Russia, 24–28 June 2019
Editors: V. M. Mostepanenko and E. N. Velichko

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.

Keywords:

PACS: 04.20.Jb, 04.20.-q

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