Analyzing the geometrical and dynamical parameters of modified Teleparallel-Gauss–Bonnet model

Lohakare, Santosh V; Mishra, B.; Maurya, S. K.; Singh, Ksh. Newton

doi:10.1016/j.dark.2022.101164

Cited by 16 publications

(5 citation statements)

References 74 publications

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“…At present, the DP is observed as q 0 = −0.45015 for the SNe-Ia+CMB+BAO+H(z) (SCBH) dataset. Because of this, q(z) at the current cosmic epoch is fairly compatible with the range q 0 = −0.528 +0.092 −0.088 as found by a recent observation [66,74].…”

Section: Physical Parameters 61 Deceleration Parametersupporting

confidence: 88%

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

et al. 2023

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Any new gravitational theories can be built with the help of a gauge theory with local Poincare symmetry. This local Poincare symmetry can set up a space-time with torsion. In the present study, the authors working on the parametrization approach towards Hubble’s parameter in the frame of modified teleparallel Gauss-Bonnet gravity which is established on the torsion invariant T and the teleparallel equivalent of the Gauss-Bonnet term TG, say F(T,TG) gravity. In particular, gravity is responsible for an integrated explanation of the cosmological history from early-time inflation to late-time acceleration expansion, by lacking the addition of a cosmological constant. The domino effect acquired is reliable with recent cosmological outcomes. A transition scenario from a decelerating phase to an accelerating phase of cosmic evolution has been detected. Using the combined datasets (SNe-Ia+BAO+CMB+H(z)), we have constrained the transition redshift zt (at which the universe transit from a decelerating phase to an accelerating) and established the best fit value of zt. Next, we paralleled the renovated results of q(z) and ω(z) and found that the outcomes are well-suited with a ΛCDM universe.

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Section: Physical Parameters 61 Deceleration Parametersupporting

confidence: 88%

“…Also, the model is forecast to be necessary in late times. As, this model can yield significant cosmic behavior validating the advantages, opportunities, and original features of F (T , T G ) cosmology [66].…”

Section: Cosmology With F (T T G ) Gravitymentioning

confidence: 57%

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

et al. 2023

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“…The expression in equation (7) guarantees that GR and TEGR produce identical equations of motion in the classical regime, thus making them dynamically equivalent. Another interesting scalar invariant is the Gauss-Bonnet term [45,47,48,69,77,78…”

Section: Teleparallel Gravitymentioning

confidence: 99%

Noether symmetries in f(T, T_G) cosmology

2023

Self Cite

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All degrees of freedom related to the torsion scalar can be explored by analysing, the $f(T,T_G)$ gravity formalism where, $T$ is a torsion scalar and $T_G$ is the teleparallel counterpart of the Gauss-Bonnet topological invariant term. The well-known Noether symmetry approach is a useful tool for selecting models that are motivated at a fundamental level and determining the exact solution to a given Lagrangian, hence we explore Noether symmetry approach in $f(T,T_G)$ gravity formalism with three different forms of $f(T,T_G)$ and study how to establish nontrivial Noether vector form for each one of them. We extend the analysis made in ( [Capozziello et al., Eur. Phys. J. C 76, 629 (2016)] for the form $f(T,T_{G})=b_{0}T_{G}^{k}+t_{0}T^{m}$ and discussed the symmetry for this model with linear teleparallel equivalent of the Gauss-Bonnet term, followed by the study of two models containing exponential form of the teleparallel equivalent of the Gauss-Bonnet term. We have shown that all three cases will allow us to obtain non-trivial Noether vector which will play an important role to obtain the exact solutions for the cosmological equations.

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“…f (Q)-theory has been widely studied by cosmologists because it can provide an alternative geometric mechanism for describing cosmological phenomena [25]. For various applications of symmetric teleparallel theory we refer the reader to [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44] and references therein. Recently, in [45] a detailed analysis for the evolution of cosmological parameters performed within the framework of f (Q)-gravity for a spatially flat FLRW universe.…”

Section: Introductionmentioning

confidence: 99%

Stability Properties of Self-Similar Solutions in Symmetric Teleparallel f(Q)-Cosmology

Paliathanasis

2023

Symmetry

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Self-similar cosmological solutions correspond to spacetimes that admit a homothetic symmetry. The physical properties of self-similar solutions can describe important eras of the cosmological evolution. Recently, self-similar cosmological solutions were derived for symmetric teleparallel fQ-theory with different types of connections. In this work, we study the stability properties of the self-similar cosmological solutions in order to investigate the effects of the different connections on the stability properties of the cosmic history. For the background geometry, we consider the isotropic Friedmann–Lemaître–Robertson–Walker space and the anisotropic and homogeneous Bianchi I space, for which we investigate the stability properties of Kasner-like universes.

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Analyzing the geometrical and dynamical parameters of modified Teleparallel-Gauss–Bonnet model

Cited by 16 publications

References 74 publications

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

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

Noether symmetries in f(T, T_G) cosmology

Stability Properties of Self-Similar Solutions in Symmetric Teleparallel f(Q)-Cosmology

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Analyzing the geometrical and dynamical parameters of modified Teleparallel-Gauss–Bonnet model

Cited by 16 publications

References 74 publications

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

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

Noether symmetries in f(T, TG) cosmology

Stability Properties of Self-Similar Solutions in Symmetric Teleparallel f(Q)-Cosmology

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Product

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Noether symmetries in f(T, T_G) cosmology