Rip cosmological models in extended symmetric teleparallel gravity

Pati, Laxmipriya; Kadam, S. A.; Tripathy, S. K.; Mishra, B.

doi:10.1016/j.dark.2021.100925

Cited by 31 publications

(15 citation statements)

References 34 publications

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“…To analyse the dynamics of the cosmological models, we use the following dimensionless variables x and y. Eqs. ( 25), (26) and equation of continuity of motion are transformed into an autonomous system of first-order differential equations…”

Section: Dynamical System Approach In F (Q) Gravitymentioning

confidence: 99%

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Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity

Narawade,

Pati,

Mishra

et al. 2022

Preprint

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Two accelerating cosmological models are presented in symmetric teleparallel f (Q) gravity, Q be the non-metricity. The models are constructed based on the assumptions of two different functional forms of f (Q) and a dynamically changing nature of the deceleration parameter that shows transition at t = 2n ± 4n 2 +13 , n being a positive constant. In both the models, the equation of state parameter for the dark energy in f (Q) gravity becomes a dynamical quantity and crosses the phantom divide line. The violation of the strong energy condition and the null energy condition at late times are also established. In addition, the dynamical system analysis has been performed and three critical points in each model are identified. In each model, at least one stable node has been observed. To strengthen further, the stability analysis using homogeneous linear perturbations has been performed to ensure the stability of the models.

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Section: Dynamical System Approach In F (Q) Gravitymentioning

confidence: 99%

“…Anagnostopoulos et al [22] have given the first evidence that the non-metricity f (Q) gravity could challenge ΛCDM behaviour of the universe. To note here an extension of the non-metricity gravity is the f (Q, T) gravity [23] that has been instrumental in providing late time cosmic acceleration models of the Universe [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity

Narawade,

Pati,

Mishra

et al. 2022

Preprint

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“…Yang et al [30] formulated the geodesic deviation and Raychaudhuri equations in f (Q, T) gravity placed on the observation that the curvature-matter coupling significantly modifies the nature of current forces and the equation of motion in the Newtonian limit. Pati et al [31] considered some rip cosmological models in the form of f (Q, T) = aQ m + bT gravity. Also in another work, Pati et al [32] studied the dynamical aspects of some accelerating models in f (Q, T) gravity using the hybrid scale factor.…”

Section: Introductionmentioning

confidence: 99%

Bulk viscous fluid in extended symmetric teleparallel gravity

Koussour

Shekh²,

Беннаи³

et al. 2024

Chinese Journal of Physics

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“…Ray et al [37] have shown the non-occurrence of BR or PR singularity in f (R, T) theory of gravity. Pati et al [38] have shown the cosmological models with LR, BR and PR scenarios in the non-metricity gravity.…”

Section: Introductionmentioning

confidence: 99%

Rip models in Ricci-Gauss-Bonnet Cosmology

Lohakare¹,

Tello‐Ortiz²,

Mishra³

et al. 2022

Preprint

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The ultimate fate of the Universe or the possible occurrence of future singularity to interpret the cosmic accelerating expansion phenomena has been discussed in this paper. The gravitational theory comprising of Ricci scalar R and Gauss-Bonnet invariant G, known as f (R, G) gravity has been considered in the quadratic form. Three models with the Hubble parameter that represents finite and infinite future time are presented. The physical and geometrical parameters of the models are analysed. Also, the properties of modified gravitational theory have been examined. The fate of the Universe evolution in this study confronts with neither little or pseudo rip nor the future singularity. The perturbed evolution equations are formulated in the scalar perturbation approach and the stability of the models are shown.

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Rip cosmological models in extended symmetric teleparallel gravity

Cited by 31 publications

References 34 publications

Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity

Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity

Bulk viscous fluid in extended symmetric teleparallel gravity

Rip models in Ricci-Gauss-Bonnet Cosmology

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