Geodesic Structure of the Accelerated Stephani Universe

For the spherically symmetric Stephani cosmological model with an accelerated expansion, we investigate the main scenarios of the test particle and photon motion. We show that a comoving observer sees an appropriate picture. In the case of purely radial motion, the radial velocity decreases slightly...

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Main Authors: Irina Bormotova, Elena Kopteva, Zdeněk Stuchlík
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/6/1001
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author Irina Bormotova
Elena Kopteva
Zdeněk Stuchlík
author_facet Irina Bormotova
Elena Kopteva
Zdeněk Stuchlík
author_sort Irina Bormotova
collection DOAJ
description For the spherically symmetric Stephani cosmological model with an accelerated expansion, we investigate the main scenarios of the test particle and photon motion. We show that a comoving observer sees an appropriate picture. In the case of purely radial motion, the radial velocity decreases slightly with time due to the universe expansion. Both particles and photons spiral out of the center when the radial coordinate is constant. In the case of the motion with arbitrary initial velocity, the observable radial distance to the test particle can increase under negative observable radial velocity.
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spelling doaj.art-c12902e9fde143d4bf5a3da1ead39ca62023-11-21T22:41:12ZengMDPI AGSymmetry2073-89942021-06-01136100110.3390/sym13061001Geodesic Structure of the Accelerated Stephani UniverseIrina Bormotova0Elena Kopteva1Zdeněk Stuchlík2Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, CZ-746 01 Opava, Czech RepublicResearch Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, CZ-746 01 Opava, Czech RepublicResearch Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, CZ-746 01 Opava, Czech RepublicFor the spherically symmetric Stephani cosmological model with an accelerated expansion, we investigate the main scenarios of the test particle and photon motion. We show that a comoving observer sees an appropriate picture. In the case of purely radial motion, the radial velocity decreases slightly with time due to the universe expansion. Both particles and photons spiral out of the center when the radial coordinate is constant. In the case of the motion with arbitrary initial velocity, the observable radial distance to the test particle can increase under negative observable radial velocity.https://www.mdpi.com/2073-8994/13/6/1001inhomogeneous cosmologyspherical symmetryStephani solutionaccelerated expansiongeodesic equations
spellingShingle Irina Bormotova
Elena Kopteva
Zdeněk Stuchlík
Geodesic Structure of the Accelerated Stephani Universe
Symmetry
inhomogeneous cosmology
spherical symmetry
Stephani solution
accelerated expansion
geodesic equations
title Geodesic Structure of the Accelerated Stephani Universe
title_full Geodesic Structure of the Accelerated Stephani Universe
title_fullStr Geodesic Structure of the Accelerated Stephani Universe
title_full_unstemmed Geodesic Structure of the Accelerated Stephani Universe
title_short Geodesic Structure of the Accelerated Stephani Universe
title_sort geodesic structure of the accelerated stephani universe
topic inhomogeneous cosmology
spherical symmetry
Stephani solution
accelerated expansion
geodesic equations
url https://www.mdpi.com/2073-8994/13/6/1001
work_keys_str_mv AT irinabormotova geodesicstructureoftheacceleratedstephaniuniverse
AT elenakopteva geodesicstructureoftheacceleratedstephaniuniverse
AT zdenekstuchlik geodesicstructureoftheacceleratedstephaniuniverse