On reconstruction of extended teleparallel gravity from the cosmological jerk parameter

Chakrabarti, Soumya; Said, Jackson Levi; Bamba, Kazuharu

doi:10.1140/epjc/s10052-019-6975-1

Cited by 26 publications

(9 citation statements)

References 64 publications

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“…Overall, this produces a viable cosmological model. A similar reconstruction procedure to the above uses the perfect fluid's EoS as opposed to the torsional one [783,286]. This is achieved by solving the ordinary differential equation obtained by combining Eqs.…”

Section: Reconstruction Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Teleparallel Gravity: From Theory to Cosmology

Bahamonde¹,

Dialektopoulos²,

Escamilla-Rivera³

et al. 2021

Preprint

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123

259

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Equation of State LHS Left hand side RHS Right hand side STEGR Symmetric teleparallel equivalent of general relativity TEGB Teleparallel equivalent of the Gauss-Bonnet PPN Parameterized post-Newtonian formalism SN Supernova (we use abbreviations SNeIa and SNIa to refer to supernova type 1a) BAO Baryonic Acoustic Oscillations CC Cosmic Chronometers DE Dark energy HDE Holographic Dark Energy QCD Quantum Chromodynamics PlDE Pilgrim Dark Energy CMB Cosmic Microwave Background WMAP Wilkinson Microwave Anisotropy Probe SVT Scalar-Vector-Tensor VLBI Very Long Baseline Interferometry SH0ES Supernova H0 for the Equation of State TRGB Tip of the red-giant branch TDCOSMO Time-delay Cosmography vi

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Section: Reconstruction Methodsmentioning

confidence: 99%

“…In Ref. [286], the evolutionary behavior is specified through the jerk parameter j(t) ≡ ... a/(aH 3 ) where three models were considered. The results are summarized in Table 3.…”

Section: Reconstruction Methodsmentioning

confidence: 99%

Teleparallel Gravity: From Theory to Cosmology

Bahamonde¹,

Dialektopoulos²,

Escamilla-Rivera³

et al. 2021

Preprint

Self Cite

123

259

View full text Add to dashboard Cite

show abstract

“…The equation of state that relates the usual pressure and matter-energy density of the cosmic fluid is given as [44] p = ωρ (24) Here ω is constant called equation of state (EoS) parameter.…”

Section: Fundamental Formulations In F(q)mentioning

confidence: 99%

Accelerating expansion of the universe in modified symmetric teleparallel gravity

Solanki,

De,

Mandal

et al. 2022

Preprint

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The fundamental nature and origin of dark energy are one of the premier mysteries of theoretical physics. In General Relativity Theory, the cosmological constant Λ is the simplest explanation for dark energy. On the other hand, the cosmological constant Λ suffers from a delicate issue socalled fine-tuning problem. This motivates one to modify the spacetime geometry of Einstein's GR. The f (Q) gravity is a recently proposed modified theory of gravity in which the non-metricity scalar Q drives the gravitational interaction. In this article, we consider a linear f (Q) model, specifically f (Q) = αQ + β, where α and β are free parameters. Then we estimate the best fit values of model parameters that would be in agreement with the recent observational data sets. We use 57 points of the updated H(z) data sets, 6 points of the BAO data sets, and 1048 points from the Pantheon supernovae samples. We apply the Bayesian analysis and likelihood function along with the Markov Chain Monte Carlo (MCMC) method. Further, we analyse the physical behaviour of cosmological parameters such as density, deceleration, and the EoS parameters corresponding to the constraint values of the model parameters. The evolution of deceleration parameter predicts a transition from decelerated to accelerated phases of the universe. Further, the evolution of equation of state parameter depicts quintessence type behaviour of the dark energy fluid part. We found that our f (Q) cosmological model can effectively describe the late time cosmic acceleration without invoking any dark energy component in the matter part.

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“…In this paper, from the perspective of this new method, we investigate the reconstruction of anisotropic Einstein-Maxwell equation in 1+3 covariant formalism of f (R)-gravity in four modes of evolution: (i) Reconstruction from a negative constant deceleration parameter refereeing to an ever-accelerating universe; (ii) Reconstruction from a constant jerk parameter j = 1 which recovers celebrated ΛCDM mode of evolution; (iii) Reconstruction from a time-variable jerk parameter j = Q(t); and (iv) Reconstruction from a slowly varying jerk parameter. The two last jerk types for f (T )-gravity has recently been studied by Chakrabarti et al [39]. Finally, some suggestions for enhancing the method are proposed.…”

Section: Introductionmentioning

confidence: 99%

Raychaudhuri-based reconstruction of anisotropic Einstein–Maxwell equation in 1+3 covariant formalism of f(R)-gravity

Tajahmad

2020

Eur. Phys. J. C

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Recently, a new strategy to the reconstruction of $$f(R)$$f(R)-gravity models based on the Raychaudhuri equation has been suggested by Choudhury et al. (MNRAS 485:5693, 2019). In this paper, utilizing this method, the reconstruction of anisotropic Einstein–Maxwell equation in the $$1+3$$1+3 covariant formalism of $$f(R)$$f(R)-gravity is investigated in four modes: (i) Reconstruction from a negative constant deceleration parameter refereeing to an ever-accelerating universe; (ii) Reconstruction from a constant jerk parameter $$j=1$$j=1 which recovers celebrated $$\varLambda \text {CDM}$$ΛCDM mode of evolution; (iii) Reconstruction from a variable jerk parameter $$j=Q(t)$$j=Q(t); and (iv) Reconstruction from a slowly varying jerk parameter. Furthermore, two suggestions for enhancing the method are proposed.

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On reconstruction of extended teleparallel gravity from the cosmological jerk parameter

Cited by 26 publications

References 64 publications

Teleparallel Gravity: From Theory to Cosmology

Teleparallel Gravity: From Theory to Cosmology

Accelerating expansion of the universe in modified symmetric teleparallel gravity

Raychaudhuri-based reconstruction of anisotropic Einstein–Maxwell equation in 1+3 covariant formalism of f(R)-gravity

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