A parametric reconstruction of the deceleration parameter

Abstract The present work is based on a parametric reconstruction of the deceleration parameter q(z) in a model for the spatially flat FRW universe filled with dark energy and non-relativistic matter. In cosmology, the parametric reconstruction technique deals with an attempt to build up a model by...

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Main Authors: Abdulla Al Mamon, Sudipta Das
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5066-4
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author Abdulla Al Mamon
Sudipta Das
author_facet Abdulla Al Mamon
Sudipta Das
author_sort Abdulla Al Mamon
collection DOAJ
description Abstract The present work is based on a parametric reconstruction of the deceleration parameter q(z) in a model for the spatially flat FRW universe filled with dark energy and non-relativistic matter. In cosmology, the parametric reconstruction technique deals with an attempt to build up a model by choosing some specific evolution scenario for a cosmological parameter and then estimate the values of the parameters with the help of different observational datasets. In this paper, we have proposed a logarithmic parametrization of q(z) to probe the evolution history of the universe. Using the type Ia supernova, baryon acoustic oscillation and the cosmic microwave background datasets, the constraints on the arbitrary model parameters $$q_{0}$$ q 0 and $$q_{1}$$ q 1 are obtained (within $$1\sigma $$ 1 σ and $$2\sigma $$ 2 σ confidence limits) by $$\chi ^{2}$$ χ 2 -minimization technique. We have then reconstructed the deceleration parameter, the total EoS parameter $$\omega _\mathrm{tot}$$ ω tot , the jerk parameter and have compared the reconstructed results of q(z) with other well-known parametrizations of q(z). We have also shown that two model selection criteria (namely, the Akaike information criterion and Bayesian information criterion) provide a clear indication that our reconstructed model is well consistent with other popular models.
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spelling doaj.art-9513e1b3c8b6415bb8b75b6f5e766a672022-12-21T17:57:02ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-07-017771910.1140/epjc/s10052-017-5066-4A parametric reconstruction of the deceleration parameterAbdulla Al Mamon0Sudipta Das1Manipal Centre for Natural Sciences, Manipal UniversityDepartment of Physics, Visva-BharatiAbstract The present work is based on a parametric reconstruction of the deceleration parameter q(z) in a model for the spatially flat FRW universe filled with dark energy and non-relativistic matter. In cosmology, the parametric reconstruction technique deals with an attempt to build up a model by choosing some specific evolution scenario for a cosmological parameter and then estimate the values of the parameters with the help of different observational datasets. In this paper, we have proposed a logarithmic parametrization of q(z) to probe the evolution history of the universe. Using the type Ia supernova, baryon acoustic oscillation and the cosmic microwave background datasets, the constraints on the arbitrary model parameters $$q_{0}$$ q 0 and $$q_{1}$$ q 1 are obtained (within $$1\sigma $$ 1 σ and $$2\sigma $$ 2 σ confidence limits) by $$\chi ^{2}$$ χ 2 -minimization technique. We have then reconstructed the deceleration parameter, the total EoS parameter $$\omega _\mathrm{tot}$$ ω tot , the jerk parameter and have compared the reconstructed results of q(z) with other well-known parametrizations of q(z). We have also shown that two model selection criteria (namely, the Akaike information criterion and Bayesian information criterion) provide a clear indication that our reconstructed model is well consistent with other popular models.http://link.springer.com/article/10.1140/epjc/s10052-017-5066-4
spellingShingle Abdulla Al Mamon
Sudipta Das
A parametric reconstruction of the deceleration parameter
European Physical Journal C: Particles and Fields
title A parametric reconstruction of the deceleration parameter
title_full A parametric reconstruction of the deceleration parameter
title_fullStr A parametric reconstruction of the deceleration parameter
title_full_unstemmed A parametric reconstruction of the deceleration parameter
title_short A parametric reconstruction of the deceleration parameter
title_sort parametric reconstruction of the deceleration parameter
url http://link.springer.com/article/10.1140/epjc/s10052-017-5066-4
work_keys_str_mv AT abdullaalmamon aparametricreconstructionofthedecelerationparameter
AT sudiptadas aparametricreconstructionofthedecelerationparameter
AT abdullaalmamon parametricreconstructionofthedecelerationparameter
AT sudiptadas parametricreconstructionofthedecelerationparameter