Does fractal universe describe a complete cosmic scenario ?

Abstract The present work deals with evolution of the fractal model of the universe in the background of homogeneous and isotropic FLRW space-time geometry. The cosmic substrum is taken as perfect fluid with barotropic equation of state. A general prescription for the deceleration parameter is deter...

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Main Authors: Dipanjana Das, Sourav Dutta, Abdulla Al Mamon, Subenoy Chakraborty
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-6322-y
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author Dipanjana Das
Sourav Dutta
Abdulla Al Mamon
Subenoy Chakraborty
author_facet Dipanjana Das
Sourav Dutta
Abdulla Al Mamon
Subenoy Chakraborty
author_sort Dipanjana Das
collection DOAJ
description Abstract The present work deals with evolution of the fractal model of the universe in the background of homogeneous and isotropic FLRW space-time geometry. The cosmic substrum is taken as perfect fluid with barotropic equation of state. A general prescription for the deceleration parameter is determined and it is examined whether the deceleration parameter may have more than one transition during the evolution of the fractal universe for monomial form of the fractal function as a function of the scale factor. Finally, the model has been examined by making comparison with the observed data.
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spelling doaj.art-9c2423d82cf941dd9aa2d62bdcacbbc62022-12-21T18:49:41ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-10-0178101910.1140/epjc/s10052-018-6322-yDoes fractal universe describe a complete cosmic scenario ?Dipanjana Das0Sourav Dutta1Abdulla Al Mamon2Subenoy Chakraborty3Department of Mathematics, Jadavpur UniversityDepartment of Pure Mathematics, Ballygunge Science CollegeDepartment of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityAbstract The present work deals with evolution of the fractal model of the universe in the background of homogeneous and isotropic FLRW space-time geometry. The cosmic substrum is taken as perfect fluid with barotropic equation of state. A general prescription for the deceleration parameter is determined and it is examined whether the deceleration parameter may have more than one transition during the evolution of the fractal universe for monomial form of the fractal function as a function of the scale factor. Finally, the model has been examined by making comparison with the observed data.http://link.springer.com/article/10.1140/epjc/s10052-018-6322-y
spellingShingle Dipanjana Das
Sourav Dutta
Abdulla Al Mamon
Subenoy Chakraborty
Does fractal universe describe a complete cosmic scenario ?
European Physical Journal C: Particles and Fields
title Does fractal universe describe a complete cosmic scenario ?
title_full Does fractal universe describe a complete cosmic scenario ?
title_fullStr Does fractal universe describe a complete cosmic scenario ?
title_full_unstemmed Does fractal universe describe a complete cosmic scenario ?
title_short Does fractal universe describe a complete cosmic scenario ?
title_sort does fractal universe describe a complete cosmic scenario
url http://link.springer.com/article/10.1140/epjc/s10052-018-6322-y
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AT souravdutta doesfractaluniversedescribeacompletecosmicscenario
AT abdullaalmamon doesfractaluniversedescribeacompletecosmicscenario
AT subenoychakraborty doesfractaluniversedescribeacompletecosmicscenario