Revisiting the coincidence problem in f(R) gravitation

Sahoo, P. K.; Bhattacharjee, Snehasish

doi:10.1016/j.newast.2019.101351

Cited by 14 publications

(3 citation statements)

References 80 publications

(118 reference statements)

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“…In the foregoing epoch, a lot of investigation has been primed in the modified theories of gravitation such as f(R), f(R, T ), f(G), f(R, G), and f(T, B) gravity, where R, G, T and T denotes the Ricci scalar, Gauss-Bonnet invariant, trace of energy-momentum tensor and torsion scalar of the Universe respectively. Innumeral works have been established in the framework of this modified theories of gravity and interesting results have been found in (Capozziello et al, 2007;Nojiri and Odintsov 2007;Azadi et al, 2008;Capozziello et al, 2008;Nojiri and Odintsov 2008;Harko et al, 2011;Daouda et al, 2012;Wei et al, 2012;Sharif and Yousaf 2013;Sahoo et al, 2014;Abbas et al, 2015;Chirde and Shekh 2015;Chirde and Shekh, 2016a;Chirde and Shekh, 2016b;Sharif and Fatima 2016;Bhatti et al, 2017;Bhoyar et al, 2017;Shekh, 2018a, Chirde andShekh, 2018b;Chirde and Shekh, 2019;Pawar et al, 2018;Shekh and Chirde, 2019;Shekh and Chirde, 2020;Shekh et al, 2020b;Dagwal and Pawar 2020;Sahoo and Bhattacharjee 2020;Shekh et al, 2020a;Shekh and Chirde 2020;Shekh et al, 2021;Shekh, 2021a;Shekh 2021b). Among the all determinations, one model which is based on the so-called f(Q) gravity theory or symmetric teleparallel gravity, where the nonmetricity scalar Q is works as gravitational interaction.…”

Section: Introductionmentioning

confidence: 95%

Analysis of Reconstructed Modified Symmetric Teleparallel f(Q) Gravity

Myrzakulov

Shekh

Mussatayeva

et al. 2022

Front. Astron. Space Sci.

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The existing analysis reports a reconstruction scheme of the newly proposed gravity say f(Q) gravity through the scale factor of the form a(t)=a0tn=11+z by describing the power-law cosmology. The reconstructed f(Q) gravity models disclosed how this modified gravity model is capable to replicate dissimilar epochs of the cosmological history. Also, the reconstructed f(Q) gravity models are castoff to develop the expressions for density and pressure and the equation of state parameter. We reconstruct two cases of interacting fluid scenario ghost and pilgrim dark energy with pressureless dark matter. The physical behavior of the models is talked over the evolution of the Universe is accelerated. Moreover, the well-known cosmological planes i.e., (ωD−ωD′) and (r − s) constructed for our models, also include a comparison of our findings of these dynamical parameters with observational constraints. It is also quite interesting to mention here that the results of the equation of state parameter, (ωD−ωD′) and (r − s)-planes coincide with the modern observational data.

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Section: Introductionmentioning

confidence: 95%

Analysis of Reconstructed Modified Symmetric Teleparallel f(Q) Gravity

Myrzakulov

Shekh

Mussatayeva

et al. 2022

Front. Astron. Space Sci.

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“…Likewise, this theory covers all the domains from the cosmological to the nearby planetary scales [19]. A few prominent authors given in [20][21][22][23][24][25][26][27][28][29][30] have studied f (R) gravity for various space-times in the different contexts of use. Due to the occurrence of torsion without introducing dark energy, an accelerated expansion of the Universe is seen in teleparallel gravity, specifically f (T) gravity.…”

Section: Introductionmentioning

confidence: 99%

Energy conditions of the f(T, B) gravity dark energy model with the validity of thermodynamics

Shekh¹,

Chirde²,

Sahoo³

2020

Commun. Theor. Phys.

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In this article, the analysis of Tsallis holographic dark energy (which turns into holographic dark energy for a particular choice of positive non-additivity parameter δ) in modified f (T, B) gravity with the validity of thermodynamics and energy conditions for a homogeneous and isotropic FLRW Universe has been studied. The enlightenment of the field equation towards , made possible by the fact that the model is purely accelerating, corresponds to q = −0.54 (Mamon and Das 2017 Eur. Phys. J. C 77 49). The generalized second law of thermodynamics is valid not only for the same temperature inside the horizon, but also for the apparent horizon for a change in temperature. The essential inspiration driving this article is to exhibit the applicability that the holographic dark energy achieved from standard Tsallis holographic dark energy and the components acquired from f(T, B) gravity are identical for the specific bounty of constants. The analysis of energy conditions confirms that the weak energy condition and the null energy condition are fulfilled throughout the expansion, while violation of the strong energy condition validates the accelerated expansion of the Universe. With the expansion, the model becomes a quintessence dominated model. The dominant energy condition is not observed initially when the model is filled with genuine baryonic matter, whereas it appears when the model is in the quintessence dominated era.

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“…are widely employed in modern cosmology (For a recent review on modified gravity see [5]. Also see [6] for some interesting cosmological applications of modified gravity) to address the late-time acceleration and other shortcomings of ΛCDM cosmologies.…”

Section: Introductionmentioning

confidence: 99%

f(Q,T) gravity models with observational constraints

Arora

Pacif

Bhattacharjee

et al. 2020

Physics of the Dark Universe

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The paper presents late time cosmology in f (Q, T) gravity where the dark energy is purely geometric in nature. We start by employing a well motivated f (Q, T) gravity model, f (Q, T) = mQ n + bT where m, n and b are model parameters. Additionally we also assume the universe to be dominated by pressure-less matter which yields a power law type scale factor of the form a(t) = c2(At + c1) 1 A , where A = 3(8π + b) n(16π + 3b) and c1 & c2 are just integration constants. To investigate the cosmological viability of the model, constraints on the model parameters were imposed from the updated 57 points of Hubble data sets and 580 points of union 2.1 compilation supernovae data sets. We have thoroughly investigated the nature of geometrical dark energy mimicked by the parametrization of f (Q, T) = mQ n + bT with the assistance of statefinder diagnostic in {s, r} and {q, r} planes and also performed the Om-diagnostic analysis. The present analysis makes it clear-cut that f (Q, T) gravity can be promising in addressing the current cosmic acceleration and therefore a suitable alternative to the dark energy problem. Further studies in other cosmological areas are therefore encouraging to further investigate the viability of f (Q, T) gravity.

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Revisiting the coincidence problem in f(R) gravitation

Cited by 14 publications

References 80 publications

Analysis of Reconstructed Modified Symmetric Teleparallel f(Q) Gravity

Analysis of Reconstructed Modified Symmetric Teleparallel f(Q) Gravity

Energy conditions of the f(T, B) gravity dark energy model with the validity of thermodynamics

f(Q,T) gravity models with observational constraints

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