Gaussian discriminators between $$\varLambda $$ Λ CDM and wCDM cosmologies using expansion data

Abstract The Gaussian linear model provides a unique way to obtain the posterior probability distribution as well as the Bayesian evidence analytically. Considering the expansion rate data, the Gaussian linear model can be applied for $$\varLambda $$ Λ CDM, wCDM and a non-flat $$\varLambda $$ Λ CDM....

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Main Authors: Ahmad Mehrabi, Jackson Levi Said
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10737-8
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author Ahmad Mehrabi
Jackson Levi Said
author_facet Ahmad Mehrabi
Jackson Levi Said
author_sort Ahmad Mehrabi
collection DOAJ
description Abstract The Gaussian linear model provides a unique way to obtain the posterior probability distribution as well as the Bayesian evidence analytically. Considering the expansion rate data, the Gaussian linear model can be applied for $$\varLambda $$ Λ CDM, wCDM and a non-flat $$\varLambda $$ Λ CDM. In this paper, we simulate the expansion data with various precision and obtain the Bayesian evidence, then it has been used to discriminate the models. The data uncertainty is in range $$\sigma \in (0.5,10)\%$$ σ ∈ ( 0.5 , 10 ) % and two different sampling rates have been considered. Our results indicate that considering $$\sigma =0.5\%$$ σ = 0.5 % uncertainty, it is possible to discriminate 2 $$\%$$ % deviation in equation of state from $$w=-1$$ w = - 1 . On the other hand, we investigate how precision of the expansion rate data affects discriminating the $$\varLambda $$ Λ CDM from a non-flat $$\varLambda $$ Λ CDM model. Finally, we perform a parameters inference in both the MCMC and Gaussian linear model, using current available expansion rate data and compare the results.
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spelling doaj.art-cf64a2b767f847c697789e28fffc007e2022-12-22T03:12:57ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-09-018291810.1140/epjc/s10052-022-10737-8Gaussian discriminators between $$\varLambda $$ Λ CDM and wCDM cosmologies using expansion dataAhmad Mehrabi0Jackson Levi Said1Department of Physics, Bu-Ali Sina UniversityInstitute of Space Sciences and Astronomy, University of MaltaAbstract The Gaussian linear model provides a unique way to obtain the posterior probability distribution as well as the Bayesian evidence analytically. Considering the expansion rate data, the Gaussian linear model can be applied for $$\varLambda $$ Λ CDM, wCDM and a non-flat $$\varLambda $$ Λ CDM. In this paper, we simulate the expansion data with various precision and obtain the Bayesian evidence, then it has been used to discriminate the models. The data uncertainty is in range $$\sigma \in (0.5,10)\%$$ σ ∈ ( 0.5 , 10 ) % and two different sampling rates have been considered. Our results indicate that considering $$\sigma =0.5\%$$ σ = 0.5 % uncertainty, it is possible to discriminate 2 $$\%$$ % deviation in equation of state from $$w=-1$$ w = - 1 . On the other hand, we investigate how precision of the expansion rate data affects discriminating the $$\varLambda $$ Λ CDM from a non-flat $$\varLambda $$ Λ CDM model. Finally, we perform a parameters inference in both the MCMC and Gaussian linear model, using current available expansion rate data and compare the results.https://doi.org/10.1140/epjc/s10052-022-10737-8
spellingShingle Ahmad Mehrabi
Jackson Levi Said
Gaussian discriminators between $$\varLambda $$ Λ CDM and wCDM cosmologies using expansion data
European Physical Journal C: Particles and Fields
title Gaussian discriminators between $$\varLambda $$ Λ CDM and wCDM cosmologies using expansion data
title_full Gaussian discriminators between $$\varLambda $$ Λ CDM and wCDM cosmologies using expansion data
title_fullStr Gaussian discriminators between $$\varLambda $$ Λ CDM and wCDM cosmologies using expansion data
title_full_unstemmed Gaussian discriminators between $$\varLambda $$ Λ CDM and wCDM cosmologies using expansion data
title_short Gaussian discriminators between $$\varLambda $$ Λ CDM and wCDM cosmologies using expansion data
title_sort gaussian discriminators between varlambda λ cdm and wcdm cosmologies using expansion data
url https://doi.org/10.1140/epjc/s10052-022-10737-8
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