Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysis

In this paper, we have presented an accelerating cosmological model of the Universe in an extended symmetric teleparallel gravity or f(Q,T) gravity. The parametric form of the Hubble parameter is, H(z)=H0[α+(1−α)(1+z)n]32n, where H0 and n are constants and for n=3, the ΛCDM scenario can be obtained....

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Main Authors: S.A. Narawade, M. Koussour, B. Mishra
Format: Article
Language:English
Published: Elsevier 2023-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321323001621
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author S.A. Narawade
M. Koussour
B. Mishra
author_facet S.A. Narawade
M. Koussour
B. Mishra
author_sort S.A. Narawade
collection DOAJ
description In this paper, we have presented an accelerating cosmological model of the Universe in an extended symmetric teleparallel gravity or f(Q,T) gravity. The parametric form of the Hubble parameter is, H(z)=H0[α+(1−α)(1+z)n]32n, where H0 and n are constants and for n=3, the ΛCDM scenario can be obtained. We have considered the logarithmic form of f(Q,T) as, f(Q,T)=−Q+βlog⁡(QQ0)+γT, where β and γ are the free model parameters. Using the Hubble, Baryon Acoustic Oscillations (BAO), and Type Ia Supernovae (SNe Ia) datasets, the present value of the Hubble parameter and other free parameters are constrained. Further other cosmographic and dynamical parameters are presented using the obtained constrained values of the Hubble and free parameters. The model shows the quintessence behavior of the Universe at the present time. The present value of the EoS parameter is obtained as, ω0=−0.56 for the Hubble+BAO+SNe datasets. The energy conditions are presented and the violation of the strong energy condition has been shown. We have performed the dynamical system analysis to validate the stability of the model. From the evolutionary plot obtained through the dynamical system variables, the present values of density parameters have been obtained as Ωm≈0.3 and Ωde≈0.7.
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spelling doaj.art-b17d0cd9a79841c282835a383a8a82172023-06-20T04:19:50ZengElsevierNuclear Physics B0550-32132023-07-01992116233Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysisS.A. Narawade0M. Koussour1B. Mishra2Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad-500078, IndiaQuantum Physics and Magnetism Team, LPMC, Faculty of Science Ben M'sik, Casablanca Hassan II University, MoroccoDepartment of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad-500078, India; Corresponding author.In this paper, we have presented an accelerating cosmological model of the Universe in an extended symmetric teleparallel gravity or f(Q,T) gravity. The parametric form of the Hubble parameter is, H(z)=H0[α+(1−α)(1+z)n]32n, where H0 and n are constants and for n=3, the ΛCDM scenario can be obtained. We have considered the logarithmic form of f(Q,T) as, f(Q,T)=−Q+βlog⁡(QQ0)+γT, where β and γ are the free model parameters. Using the Hubble, Baryon Acoustic Oscillations (BAO), and Type Ia Supernovae (SNe Ia) datasets, the present value of the Hubble parameter and other free parameters are constrained. Further other cosmographic and dynamical parameters are presented using the obtained constrained values of the Hubble and free parameters. The model shows the quintessence behavior of the Universe at the present time. The present value of the EoS parameter is obtained as, ω0=−0.56 for the Hubble+BAO+SNe datasets. The energy conditions are presented and the violation of the strong energy condition has been shown. We have performed the dynamical system analysis to validate the stability of the model. From the evolutionary plot obtained through the dynamical system variables, the present values of density parameters have been obtained as Ωm≈0.3 and Ωde≈0.7.http://www.sciencedirect.com/science/article/pii/S0550321323001621
spellingShingle S.A. Narawade
M. Koussour
B. Mishra
Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysis
Nuclear Physics B
title Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysis
title_full Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysis
title_fullStr Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysis
title_full_unstemmed Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysis
title_short Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysis
title_sort constrained f q t gravity accelerating cosmological model and its dynamical system analysis
url http://www.sciencedirect.com/science/article/pii/S0550321323001621
work_keys_str_mv AT sanarawade constrainedfqtgravityacceleratingcosmologicalmodelanditsdynamicalsystemanalysis
AT mkoussour constrainedfqtgravityacceleratingcosmologicalmodelanditsdynamicalsystemanalysis
AT bmishra constrainedfqtgravityacceleratingcosmologicalmodelanditsdynamicalsystemanalysis