Holographic dark energy in Gauss-Bonnet gravity with Granda-Oliveros cut-off

Koussour, M.; Filali, H.; Shekh, S. H.; Bennai, M.

doi:10.48550/arxiv.2202.06737

Cited by 4 publications

(4 citation statements)

References 46 publications

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“…Many researchers recommend another idea, namely that the accelerating expansion of the Universe could be the result of modifications of gravity, and they called this class the modified gravity theories (MGTs), see [9][10][11][12][13][14]. Another class combines the holographic principle with DE, such as [15]. Many researchers around the world are striving to uncover the causes of cosmic acceleration, but despite this, the question of cosmic acceleration or DE remains a mystery in the scientific arena.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity

Koussour

Bennai

2022

Class. Quantum Grav.

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In this work, we study a cosmological model of Bianchi type-I Universe in teleparallel gravity for a perfect fluid. To obtain the cosmological solution of the model, we assume that the deceleration parameter is a linear function of the Hubble parameter H i.e. q=-1+βH (where β as a positive constant). Consequently, we get a model of our Universe, where it goes from the initial phase of deceleration to the current phase of acceleration. We have discussed some physical and geometric properties such as Hubble parameter, deceleration parameter, energy density, pressure, and equation of state (EoS) parameter and study their behavior graphically in terms of redshift and compare it with observational data such as Type Ia supernovae (SNIa). We also discussed the behavior of other parameters such as the Jerk parameter, Statefinder parameters and we tested the validity of the model by studying the stability analysis and energy conditions.

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Section: Introductionmentioning

confidence: 99%

Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity

Koussour

Bennai

2022

Class. Quantum Grav.

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“…The principle of these theories is to replace the Ricci scalar R in the Einstein-Hilbert action S EH with a generalized function of R or other physical quantity. For example f (R) gravity, f (G) gravity, f (R, T ) gravity, etc [4][5][6][7][8][9][10]. The symmetric teleparallel gravity or f (Q) gravity is a modified theory of gravity suggested by J.…”

Section: Introductionmentioning

confidence: 99%

Flat LRW Universe in logarithmic symmetric teleparallel gravity with observational constraints

Koussour,

Shekh,

Hanin

et al. 2022

Preprint

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In this paper, we study the homogeneous and isotropic flat LRW Universe in the logarithmic form of f (Q) gravity (where Q is the non-metricity scalar) i.e. f (Q) = α + β log (Q) where α and β are the model constant parameters. In this study, we consider a parametrization of the Hubble parameter as H (z) = η 1 + 1 (1+z) γ , where γ and η are model/free parameters which are constrained by an R 2 -test from 57 data points of the Hubble data set in the redshift range 0.07 < z < 2.36. The physical properties of the model are discussed. We study the energy conditions to check the compatibility of the model. We found the SEC is violated for the logarithmic form of f (Q) gravity due to the reality that the Universe in an accelerating phase. Finally, we discuss some important parameters in this context to compare our model with dark energy models such as jerk parameter, statefinder parameters.

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“…As a result, more attractive dynamical models based on the principle of modifying matter content of the Universe have appeared, such as quintessence, k-essence, Chapylygin gas, holographic dark energy, etc [8][9][10][11]. Recently, with researchers interested in the issue of cosmic acceleration, other alternatives have emerged called modified theories of gravity (MTG), which aim to modify the standard Einstein-Hilbert action and replace Ricci scalar curvature R with arbitrary functions of this scalar f (R) [12,13], or other physical quantities, such as f (R, T ) gravity (where R is the Ricci scalar and T is the trace of the energymomentum tensor) [14][15][16], f (G) gravity (where G is the Gauss-Bonnet invariant) [17][18][19], f (T ) gravity (where T is the torsion scalal) [20][21][22], f (Q) gravity (Q is the nonmetricity scalar), etc. In this work, we will examine a cosmological model in order to explain the cosmic acceleration in the framework of f (Q) symmetric teleparallel gravity proposed by Jiménez et al [23], where the non-metricity scalar Q is responsible for the gravitational interaction in this theory.…”

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confidence: 99%

Anisotropic f(Q) gravity model with bulk viscosity

Koussour¹,

Shekh²,

Bennai³

2022

Preprint

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In this paper, we are going to examine the spatially homogeneous and anisotropic LRS Bianchi type-I (B-I) Universe with viscous fluid in the framework of f (Q) symmetric teleparallel gravity (Phys. Rev. D 98.4 (2018): 044048). To solve the field equations, the following two hypotheses are proposed: (i) the relationship between the directional Hubble parameters i.e. Hx = nHy (where n = 0, 1 is an arbitrary real number) which is obtained from the proportionality relation between the expansion scalar θ and shear scalar σ 2 i.e. θ ∝ σ 2 , and (ii) the relationship between the average Hubble parameter H and bulk viscous coefficient i.e. ζ = ζ0 + ζ1H + ζ2. HH + H , where ζ0, ζ1 and ζ2 are constants. Some cosmological parameters such as the deceleration parameter, EoS parameter, skewness parameter, statefinder and Om(z) diagnostic parameters of the model are produced and evaluated through graphical representation. It was also confirmed that our f (Q) gravity model with bulk viscosity is consistent with recent observational data.

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Holographic dark energy in Gauss-Bonnet gravity with Granda-Oliveros cut-off

Cited by 4 publications

References 46 publications

Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity

Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity

Flat LRW Universe in logarithmic symmetric teleparallel gravity with observational constraints

Anisotropic f(Q) gravity model with bulk viscosity

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