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Teleparallel gravity is a modified theory of gravity for which the Ricci scalar $R$ of the underlying geometry in the action is replaced by an arbitrary functional form of torsion scalar $T$. In doing so, cosmology in $% f(T)$ gravity…

综合物理 · 物理学 2022-07-20 Sanjay Mandal , Snehasish Bhattacharjee , S. K. J. Pacif , P. K. Sahoo

We investigate f(T) cosmology in both the background, as well as in the perturbation level, and we present the general formalism for reconstructing the equivalent one-parameter family of f(T) models for any given dynamical dark energy…

宇宙学与河外天体物理 · 物理学 2011-01-18 James B. Dent , Sourish Dutta , Emmanuel N. Saridakis

We consider the teleparallel equivalent of Lovelock gravity and its natural extension, where the action is given by an arbitrary function $f(T_{_{L_1}}, T_{_{L_2}},\cdot \cdot \cdot , T_{_{L_n}})$ of the torsion invariants $T_{_{L_i}}$,…

广义相对论与量子宇宙学 · 物理学 2019-07-31 P. A. González , Samuel Reyes , Yerko Vásquez

The $f(T,T_G)$ class of gravitational modification, based on the quadratic torsion scalar $T$, as well as on the new quartic torsion scalar $T_G$ which is the teleparallel equivalent of the Gauss-Bonnet term, is a novel theory, different…

广义相对论与量子宇宙学 · 物理学 2014-08-19 Georgios Kofinas , Genly Leon , Emmanuel N. Saridakis

We investigate the evolution of linear perturbations in the Symmetric Teleparallel Gravity, namely $f(Q)$ gravity, for which we design the $f(Q)$ function to match specific expansion histories. We consider different evolutions of the…

宇宙学与河外天体物理 · 物理学 2022-02-10 Inês S. Albuquerque , Noemi Frusciante

In Einstein's General Relativity (GR), the gravitational interactions are described by the spacetime curvature. Recently, other alternative geometric formulations and representations of GR have emerged in which the gravitational…

广义相对论与量子宇宙学 · 物理学 2023-08-16 A. Hanin , M. Koussour , Z. Sakhi , M. Bennai

We investigate quantum cosmology in teleparallel $f(T)$-gravity. We delve extensively into the minisuperspace description within the context of teleparallelism. The $f(T)$-theory constitutes a second-order theory of gravity, whose…

广义相对论与量子宇宙学 · 物理学 2023-12-27 N. Dimakis , A. Paliathanasis , T. Christodoulakis

In theoretical physics, the fundamental nature and evolution mechanism of dark energy is still an open question. In General Relativity Theory, the simplest explanation for dark energy is the cosmological constant $\Lambda$. However, the…

广义相对论与量子宇宙学 · 物理学 2022-03-09 Raja Solanki , Avik De , P. K. Sahoo

Scalar-tensor theories offer the prospect of explaining the cosmological evolution of the Universe through an effective description of dark energy as a quantity with a non-trivial evolution. In this work, we investigate this feature of…

广义相对论与量子宇宙学 · 物理学 2022-08-19 S. A. Kadam , B. Mishra , Jackson Levi Said

Two parameters scale factor leading to bouncing cosmology is considered. We show that at some model parameters we obtain the deceleration parameter $q_0\approx -0.535$ at the current epoch which is in agreement with the Planck data. The…

综合物理 · 物理学 2026-05-18 S. I. Kruglov

We examine a modified teleparallel gravity model defined by $f(T,T_{G})=T+\gamma\sqrt{T_{G}}+\delta\sqrt{T}$ by introducing an exponential $Om(z)$ diagnostic of the form $Om(z)=\alpha e^{\frac{z}{1+z}}+\beta$. This novel form captures…

广义相对论与量子宇宙学 · 物理学 2025-06-10 Amit Samaddar , S. Surendra Singh

We investigate the evolution of scalar perturbations in $f(T)$ teleparallel gravity and its effects on the cosmic microwave background (CMB) anisotropy. The $f(T)$ gravity generalizes the teleparallel gravity which is formulated on the…

广义相对论与量子宇宙学 · 物理学 2018-05-22 Rafael C. Nunes

In this paper, the dynamical behavior of the accelerated expansion of the universe is discussed within the framework of $f(T)$ gravity, considering power law functional form of $ f(T)=\alpha (-T)^{n}$. Two distinct redshift-dependent…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Shivank Pal , Romanshu Garg , Gyan Prakash Singh , Gauree Shanker

In this work, we study a model of holographic dark energy using FLRW cosmology in the context of modified gravity. An extension of the symmetric teleparallel gravity is obtained by considering the gravitational action L is given by an…

广义相对论与量子宇宙学 · 物理学 2025-08-06 Houda Filali , Mouhsine Koussou , Mohamed Bennai , Rachid Ahl Laamara

We perform a detailed dynamical analysis of the teleparallel dark energy scenario, which is based on the teleparallel equivalent of General Relativity, in which one adds a canonical scalar field, allowing also for a nonminimal coupling with…

广义相对论与量子宇宙学 · 物理学 2012-07-09 Chen Xu , Emmanuel N. Saridakis , Genly Leon

Chapter1 introduces cosmic acceleration and outlines key features and limitations of GR and its alternatives, including teleparallel and symmetric teleparallel gravity. In Chapter2, we analyze the cosmological implications of…

广义相对论与量子宇宙学 · 物理学 2025-07-25 Aaqid Bhat

In this paper, we have explored the field equations of f(T, B) gravity as an extension of teleparallel gravity in an isotropic and homogeneous space time. In the basic formalism developed, the dynamical parameters are derived by…

广义相对论与量子宇宙学 · 物理学 2024-09-27 S. A. Kadam , Jackson Levi Said , B. Mishra

This work examines the cosmological implications of two functional forms of $f(R,T) = R + \alpha T^n$ gravity: for two different value of $n $ where $n=1$ and $n\neq 1$, and $\alpha$ and $n$ are free parameters. The modified Friedmann…

宇宙学与河外天体物理 · 物理学 2026-02-24 Mustapha Lamaaoune

Cosmological perturbations are considered in $f(T)$ and in scalar-torsion $f(\varphi)T$ teleparallel models of gravity. Full sets of linear perturbation equations are accurately derived and analysed at the relevant limits. Interesting…

广义相对论与量子宇宙学 · 物理学 2023-01-11 Alexey Golovnev , Tomi Koivisto

Cosmography can be considered as a sort of a model-independent approach to tackle the dark energy/modified gravity problem. In this review, the success and the shortcomings of the $\Lambda$CDM model, based on General Relativity and standard…

广义相对论与量子宇宙学 · 物理学 2019-04-09 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo