Evolutionary behaviour of cosmological parameters with dynamical system analysis in f(Q, T) gravity

Abstract We have investigated the accelerating behaviour of the Universe in f(Q, T) gravity in an isotropic and homogeneous space-time. We have initially derive the dynamical parameters in the general form of $$f(Q,T)=\alpha Q^m+\beta T$$ f ( Q , T ) = α Q m + β T (Xu et al. in Eur Phys J C 79:708,...

Full description

Bibliographic Details
Main Authors: Laxmipriya Pati, S. A. Narawade, S. K. Tripathy, B. Mishra
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11598-5
_version_ 1797789620049543168
author Laxmipriya Pati
S. A. Narawade
S. K. Tripathy
B. Mishra
author_facet Laxmipriya Pati
S. A. Narawade
S. K. Tripathy
B. Mishra
author_sort Laxmipriya Pati
collection DOAJ
description Abstract We have investigated the accelerating behaviour of the Universe in f(Q, T) gravity in an isotropic and homogeneous space-time. We have initially derive the dynamical parameters in the general form of $$f(Q,T)=\alpha Q^m+\beta T$$ f ( Q , T ) = α Q m + β T (Xu et al. in Eur Phys J C 79:708, 2019) and then split it into two cases (i) one with $$m=1$$ m = 1 and the (ii) other with $$\beta =0$$ β = 0 . In the first case, it reduces to the linear form of the functional f(Q, T) and second case leads to the higher power of the nonmetricity Q. In an assumed form of the hyperbolic scale factor, the models are constructed and its evolutionary behaviours are studied. The geometrical parameters as well the equation of state parameter are obtained and found to be in the preferred range of the cosmological observations. Marginal variation has been noticed in the behaviour of $$\omega $$ ω and $$\omega _{eff}$$ ω eff at present time. The violation of strong energy conditions in both the cases are shown. The dynamical system analysis for the models has been performed.
first_indexed 2024-03-13T01:53:15Z
format Article
id doaj.art-2f4d546d8b10465da6a3e633a6093645
institution Directory Open Access Journal
issn 1434-6052
language English
last_indexed 2024-03-13T01:53:15Z
publishDate 2023-05-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj.art-2f4d546d8b10465da6a3e633a60936452023-07-02T11:24:18ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-05-0183511310.1140/epjc/s10052-023-11598-5Evolutionary behaviour of cosmological parameters with dynamical system analysis in f(Q, T) gravityLaxmipriya Pati0S. A. Narawade1S. K. Tripathy2B. Mishra3Department of Mathematics, Birla Institute of Technology and Science-PilaniDepartment of Mathematics, Birla Institute of Technology and Science-PilaniDepartment of Physics, Indira Gandhi Institute of Technology, SarangDepartment of Mathematics, Birla Institute of Technology and Science-PilaniAbstract We have investigated the accelerating behaviour of the Universe in f(Q, T) gravity in an isotropic and homogeneous space-time. We have initially derive the dynamical parameters in the general form of $$f(Q,T)=\alpha Q^m+\beta T$$ f ( Q , T ) = α Q m + β T (Xu et al. in Eur Phys J C 79:708, 2019) and then split it into two cases (i) one with $$m=1$$ m = 1 and the (ii) other with $$\beta =0$$ β = 0 . In the first case, it reduces to the linear form of the functional f(Q, T) and second case leads to the higher power of the nonmetricity Q. In an assumed form of the hyperbolic scale factor, the models are constructed and its evolutionary behaviours are studied. The geometrical parameters as well the equation of state parameter are obtained and found to be in the preferred range of the cosmological observations. Marginal variation has been noticed in the behaviour of $$\omega $$ ω and $$\omega _{eff}$$ ω eff at present time. The violation of strong energy conditions in both the cases are shown. The dynamical system analysis for the models has been performed.https://doi.org/10.1140/epjc/s10052-023-11598-5
spellingShingle Laxmipriya Pati
S. A. Narawade
S. K. Tripathy
B. Mishra
Evolutionary behaviour of cosmological parameters with dynamical system analysis in f(Q, T) gravity
European Physical Journal C: Particles and Fields
title Evolutionary behaviour of cosmological parameters with dynamical system analysis in f(Q, T) gravity
title_full Evolutionary behaviour of cosmological parameters with dynamical system analysis in f(Q, T) gravity
title_fullStr Evolutionary behaviour of cosmological parameters with dynamical system analysis in f(Q, T) gravity
title_full_unstemmed Evolutionary behaviour of cosmological parameters with dynamical system analysis in f(Q, T) gravity
title_short Evolutionary behaviour of cosmological parameters with dynamical system analysis in f(Q, T) gravity
title_sort evolutionary behaviour of cosmological parameters with dynamical system analysis in f q t gravity
url https://doi.org/10.1140/epjc/s10052-023-11598-5
work_keys_str_mv AT laxmipriyapati evolutionarybehaviourofcosmologicalparameterswithdynamicalsystemanalysisinfqtgravity
AT sanarawade evolutionarybehaviourofcosmologicalparameterswithdynamicalsystemanalysisinfqtgravity
AT sktripathy evolutionarybehaviourofcosmologicalparameterswithdynamicalsystemanalysisinfqtgravity
AT bmishra evolutionarybehaviourofcosmologicalparameterswithdynamicalsystemanalysisinfqtgravity