Accelerating Bianchi type dark energy cosmological model with cosmic string in $f(T)$ gravity

Cosmic acceleration and energy conditions in $Λ$CDM symmetric teleparallel $f(Q)$ gravity

“…From equations ( 12) and ( 14), we get the expression for the jerk parameter as Fig. (10) shows that the cosmic jerk parameter is positive throughout the entire life of the Universe and tends to 1 at late times which validated that the model involve ΛCDM model with the strong justification of ω → −1.…”

Analysis of Reconstructed Modified Symmetric Teleparallel f(Q) Gravity

“…The most of the authors who have analyzed some cosmological models with dark energy both in general relativity and modified theories of gravitation, some of them are mentioned in Ref. Shekh, 2015, Chirde andShekh, 2018a;Bhoyar et al, 2017;Shekh and Chirde 2020); Naidu et al, 2012;Sarkar and Mahanta 2013;Kiran et al, 2015;Santhi et al, 2017;Aditya and Reddy, 2018). The reconstruction phenomenon of a well-known PDE model with f(G) gravity in the presence of power law scale factor Jawad and Rani, (2015) have reconstructed f(G) models with respect to two values of PDE parameter; that is, u = 2, −2 and checked the significant cosmological aspects of these reconstructed models while Jawad et al (2016a); Jawad et al (2017) studied the cosmological consequences of pilgrim dark energy model in the framework of generalized teleparallel gravity by considering the reconstruction scheme for f(T) models with power law scale factor taking Hubble horizon and Nojiri-Odintsov length as infrared cut-offs also observed that the Hubble parameter lies within observational suggested ranges while deceleration parameter represents the accelerated expansion behaviour of the Universe and the model corresponds to the quintessence region and phantom region for different cases of pilgrim dark energy parameter u under pilgrim dark energy models in fractal Universe while very recently Shekh, (2021a) analyzed the dynamical investigation of different models of holographic dark energy using Friedman-Lemâitre-Robertson-Walker cosmological model in the context of same f(Q) gravity by governing the features of the model in view of the relation between cosmic time and redshift which yields a purely accelerating evolving Universe.In order to obtain the analytic solution, consider the following form of dimensionless scale factor as of the form:…”

“…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.…”

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

“…In another work, Shaikh studies DE in a TG framework using the hybrid expansion law for scale factor with the thermodynamic aspects of the model [24]. See also other works in this context [25][26][27][28][29].…”