Observational Constraints on F(T,TG) Gravity with Hubble’s Parametrization

Shekh, S. H.; Myrzakulov, N.; Pradhan, Anirudh; Mussatayeva, A.

doi:10.3390/sym15020321

Cited by 7 publications

(4 citation statements)

References 97 publications

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“…On the other hand, SEC is violated throughout the evolution providing the anti-gravitational effect, known to be the dark energy, resulting in the cosmic accelerated expansion. This is in good agreement with [25,26].…”

Section: The Energy Conditionssupporting

confidence: 88%

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Perfect Fluid Coupled String Universe in <i>f(R,T)</i> Gravity

Pawar,

Dabre

2023

J. Sci. Res.

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In this paper, we have investigated the Bianchi type VI0 space-time in the presence of string of clouds coupled with perfect fluid within the context of f(R,T) gravity. The exact solutions to the field equations have been obtained by considering the expansion scalar Θ is proportional to the shear scalar σ and the exponential form of an average scale factor. Some physical and kinematical parameters of the constructed model have been discussed and presented graphically, and it is interesting to note that the resultant model resembles the recent observational data. Also, we have discussed the energy conditions for a perfect fluid-coupled string cosmological model.

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Section: The Energy Conditionssupporting

confidence: 88%

“…evolution resulting in the cosmic accelerated expansion, which is in good agreement with the recent observations [25,26].…”

supporting

confidence: 92%

Perfect Fluid Coupled String Universe in <i>f(R,T)</i> Gravity

Pawar,

Dabre

2023

J. Sci. Res.

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“…Now we provide a glimpse of the main features of the scale factor (transit scale factor) and derive a few physical quantities from them to discuss the observed scenario. Hence, for the transit scale factor, Hubble's parameter [54,55] is observed as follows:…”

Section: Specific Hubble Parameters and Analysismentioning

confidence: 99%

Transit f(Q,T) Gravity Model: Observational Constraints with Specific Hubble Parameter

Kale,

Solanke,

Shekh

et al. 2023

Symmetry

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The present analysis deals with the study of the f(Q,T) theory of gravity, which was recently considered by many cosmologists. In this theory of gravity, the action is taken as an arbitrary function f(Q,T), where Q is non-metricity and T is the trace of the energy–momentum tensor for matter fluid. In this study, we took two different forms of the function f(Q,T) as f(Q,T)=a1Q+a2T and f(Q,T)=a3Q2+a4T, and discussed the physical properties of the models. Also, we obtained the various cosmological parameters for the Friedmann–Lemaître–Robertson–Walker (FLRW) universe by defining the transit form of a scale factor that yielded the Hubble parameter in redshift form, as H(z)=H0(λ+1)λ+(1+z)δ. We obtained the best-fit values of model parameters using the least squares method for observational constraints on available datasets, like Hubble H(z), Supernova SNe-Ia, etc., by applying the root mean squared error formula (RMSE). For the obtained approximate best-fit values of model parameters, we observed that the deceleration parameter q(z) shows a signature-flipping (transition) point within the range of 0.623≤z0≤1.668. Thus, it shows the decelerated expansion transiting into the accelerated universe expansion with ω→−1 as z→−1 in the extreme future.

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“…Work [38] discussed classes of exact and perturbative spherically symmetric solutions in modified teleparallel f (T, B) gravity, while in [39] the authors examined the second law of thermodynamics in f (T, B) theory and using cosmological reconstruction technique, showed that some models of f (T, B) can mimic the de-Sitter, power-law and ΛCDM models. Analysis of the Tsallis holographic dark energy and energy conditions in teleparallel f (T, B) gravity theory were considered in [40,41].…”

Section: Introductionmentioning

confidence: 99%

f(T, B) gravity with statistically fitting of H(z)

Shekh¹,

Myrzakulov

Bouali

et al. 2023

Commun. Theor. Phys.

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Some recent developments (accelerated expansion) in the universe cannot be explained by the conventional formulation of general relativity. We applied the recently proposed $f(T,B)$ gravity to investigate the accelerated expansion of the universe. By parametrizing the Hubble parameter and estimating the best fit values of the model parameters $b_{0}$, $b_{1}$, and $b_{2}$ imposed from Supernovae type Ia, Cosmic Microwave Background, Baryon Acoustic Oscillation, and Hubble data using the Markov Chain Monte Carlo (MCMC) method, we propose a method to determine the precise solutions to the field equations. We then observed that the model appears to be in good agreement with the observations. A change from the deceleration to the acceleration phase of the universe is shown by the evolution of the deceleration parameter. In addition, we investigate the behavior of statefinder analysis, equation of state (EoS) parameters along with the energy conditions. Further, to discuss other cosmological parameters, we consider some well-known $f (T,B)$ gravity model, specifically, $f(T,B)=a T^b+c B^d$. Lastly, we found that the considered $f (T,B)$ gravity models predict that the present Universe is accelerating and the EoS parameter behaves like the $\Lambda$CDM model.

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Observational Constraints on F(T,TG) Gravity with Hubble’s Parametrization

Cited by 7 publications

References 97 publications

Perfect Fluid Coupled String Universe in <i>f(R,T)</i> Gravity

Perfect Fluid Coupled String Universe in <i>f(R,T)</i> Gravity

Transit f(Q,T) Gravity Model: Observational Constraints with Specific Hubble Parameter

f(T, B) gravity with statistically fitting of H(z)

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