Cosmological observational constraints on the power law f(Q) type modified gravity theory

Abstract In modern cosmology, the curiosity of ultimately understanding the nature of the dark energy controlling the recent acceleration of the Universe motivates us to explore its properties by using some novel approaches. In this work, to explore the properties of dark energy we adopt the modifie...

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Main Authors: Sanjay Mandal, Sneha Pradhan, P. K. Sahoo, Tiberiu Harko
Format: Article
Language:English
Published: SpringerOpen 2023-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12339-4
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author Sanjay Mandal
Sneha Pradhan
P. K. Sahoo
Tiberiu Harko
author_facet Sanjay Mandal
Sneha Pradhan
P. K. Sahoo
Tiberiu Harko
author_sort Sanjay Mandal
collection DOAJ
description Abstract In modern cosmology, the curiosity of ultimately understanding the nature of the dark energy controlling the recent acceleration of the Universe motivates us to explore its properties by using some novel approaches. In this work, to explore the properties of dark energy we adopt the modified f(Q) gravity theory, where the non-metricity scalar Q, emerging from Weyl geometry, plays the dynamical role. For the function f(Q) we adopt the functional form $$f(Q)=Q+ 6\gamma \,H_0^2(Q/Q_0)^n$$ f ( Q ) = Q + 6 γ H 0 2 ( Q / Q 0 ) n , where $$n,\, \gamma ,\, H_0$$ n , γ , H 0 and $$Q_0$$ Q 0 are constants. Then, we test our constructed model against the various observational datasets, such as the Hubble, and the Pantheon+SHOES samples, and their combined sample, through the Markov Chain Monte Carlo (MCMC) statistical analysis. We also employ the parameter estimation technique to constrain the free parameters of the model. In addition, we use the constrained values of the model parameters to explore a few implications of the cosmological model. A detailed comparison of the predictions of our model with the $$\Lambda $$ Λ CDM model is also performed. In particular, we discuss in detail some cosmographic parameters, like the deceleration, the jerk, and the snap parameters, as well as the behavior of the dark energy and matter energy densities to see the evolution of various energy/matter profiles. The Om diagnostics is also presented to test the dark energy nature of our model, as compared to the standard $$\Lambda $$ Λ CDM paradigm. Our findings show that the considered version of the non-metric f(Q) type modified gravity theory, despite some differences with respect to the $$\Lambda $$ Λ CDM paradigm, can still explain the current observational results on the cosmological parameters, and provide a convincing and consistent account for the accelerating expansion of the Universe.
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spelling doaj.art-461e19ff860b47a9bc8def4f14e3f3892024-03-31T11:31:10ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-12-01831211810.1140/epjc/s10052-023-12339-4Cosmological observational constraints on the power law f(Q) type modified gravity theorySanjay Mandal0Sneha Pradhan1P. K. Sahoo2Tiberiu Harko3Faculty of Mathematics and Computer Science, Transilvania UniversityDepartment of Mathematics, Birla Institute of Technology and Science-PilaniDepartment of Mathematics, Birla Institute of Technology and Science-PilaniDepartment of Theoretical Physics, National Institute of Physics and Nuclear Engineering (IFIN-HH)Abstract In modern cosmology, the curiosity of ultimately understanding the nature of the dark energy controlling the recent acceleration of the Universe motivates us to explore its properties by using some novel approaches. In this work, to explore the properties of dark energy we adopt the modified f(Q) gravity theory, where the non-metricity scalar Q, emerging from Weyl geometry, plays the dynamical role. For the function f(Q) we adopt the functional form $$f(Q)=Q+ 6\gamma \,H_0^2(Q/Q_0)^n$$ f ( Q ) = Q + 6 γ H 0 2 ( Q / Q 0 ) n , where $$n,\, \gamma ,\, H_0$$ n , γ , H 0 and $$Q_0$$ Q 0 are constants. Then, we test our constructed model against the various observational datasets, such as the Hubble, and the Pantheon+SHOES samples, and their combined sample, through the Markov Chain Monte Carlo (MCMC) statistical analysis. We also employ the parameter estimation technique to constrain the free parameters of the model. In addition, we use the constrained values of the model parameters to explore a few implications of the cosmological model. A detailed comparison of the predictions of our model with the $$\Lambda $$ Λ CDM model is also performed. In particular, we discuss in detail some cosmographic parameters, like the deceleration, the jerk, and the snap parameters, as well as the behavior of the dark energy and matter energy densities to see the evolution of various energy/matter profiles. The Om diagnostics is also presented to test the dark energy nature of our model, as compared to the standard $$\Lambda $$ Λ CDM paradigm. Our findings show that the considered version of the non-metric f(Q) type modified gravity theory, despite some differences with respect to the $$\Lambda $$ Λ CDM paradigm, can still explain the current observational results on the cosmological parameters, and provide a convincing and consistent account for the accelerating expansion of the Universe.https://doi.org/10.1140/epjc/s10052-023-12339-4
spellingShingle Sanjay Mandal
Sneha Pradhan
P. K. Sahoo
Tiberiu Harko
Cosmological observational constraints on the power law f(Q) type modified gravity theory
European Physical Journal C: Particles and Fields
title Cosmological observational constraints on the power law f(Q) type modified gravity theory
title_full Cosmological observational constraints on the power law f(Q) type modified gravity theory
title_fullStr Cosmological observational constraints on the power law f(Q) type modified gravity theory
title_full_unstemmed Cosmological observational constraints on the power law f(Q) type modified gravity theory
title_short Cosmological observational constraints on the power law f(Q) type modified gravity theory
title_sort cosmological observational constraints on the power law f q type modified gravity theory
url https://doi.org/10.1140/epjc/s10052-023-12339-4
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AT pksahoo cosmologicalobservationalconstraintsonthepowerlawfqtypemodifiedgravitytheory
AT tiberiuharko cosmologicalobservationalconstraintsonthepowerlawfqtypemodifiedgravitytheory