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The basic aim of this manuscript is to investigate the cosmological solutions in the context of the modified $f(R, T)$ theory of gravity, where $R$ is the Ricci scalar and $T$ is the trace of the energy-momentum tensor. For our current…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Adnan Malik , Tayyaba Naz , Aimen Rauf , M. Farasat Shamir , Z. Yousaf

This thesis investigates late-time cosmic acceleration using modified gravity theories with a focus on $f(Q)$ gravity, as an alternative to the $\Lambda$CDM model. The standard cosmological model attributes the acceleration to a…

General Relativity and Quantum Cosmology · Physics 2025-12-18 S. A. Narawade

Within the framework of scalar-non-metricity gravity, we introduce a steep potential together with a power-law coupling function and investigate whether the acceleration phases of the universe can be consistently described by this model. In…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Ghulam Murtaza , Avik De , Andronikos Paliathanasis

We perform detailed investigation of cosmological perturbations in f(T) theory of gravity coupled with scalar field. Our work emphasizes on the way to gauge fix the theory and we examine all possible modes of perturbations up to second…

General Relativity and Quantum Cosmology · Physics 2013-06-24 Keisuke Izumi , Yen Chin Ong

In this paper we elaborate on the symmetric teleparallel gravity (STPG) written in a non-Riemannian spacetime with nonzero nonmetricity, but zero torsion and zero curvature. Firstly we give a prescription for obtaining the nonmetricity from…

General Relativity and Quantum Cosmology · Physics 2016-08-14 Muzaffer Adak , Özcan Sert , Mestan Kalay , Murat Sarı

In general relativity (GR), the metric tensor of spacetime is essential since it represents the gravitational potential. In other gauge theories (such as electromagnetism), the so-called premetric approach succeeds in separating the purely…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Yakov Itin , Friedrich W. Hehl , Yuri N. Obukhov

Late time cosmic acceleration may be achieved by modifying gravity on large scales. This should also have consequences on the evolution of perturbations. We thus extend our study of exponential infrared $f(T)$ teleparallel gravity to…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-11 Mahmoud Hashim , Amr A. El-Zant , Waleed El Hanafy , Alexey Golovnev

We quantize a homogeneous and isotropic universe for two models of modified teleparallel gravity, wherein an arbitrary function of the boundary term, namely $B$, is present in the action and in the other model a scalar field that is…

General Relativity and Quantum Cosmology · Physics 2024-05-07 H. Amiri , K. Atazadeh , H. Hadi

Motivated by the newly proposal for gravity as the effect of the torsion scalar $T$ and trace of the energy momentum tensor $\mathcal{T}$,we investigate the cosmological reconstruction of different models of the Universe. Our aim here is to…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Davood Momeni , Ratbay Myrzakulov

The parity violating model based on teleparallel gravity is a competitive scheme for parity violating gravity, which has been preliminary studied in the literature. To further investigate the parity violating model in teleparallel gravity,…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Haomin Rao , Dehao Zhao

The study of cosmological perturbation theory in $f(T)$ gravity is a topic of great interest in teleparallel gravity since this is one of the simplest generalizations of the theory that modifies the teleparallel equivalent of general…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Sebastian Bahamonde , Konstantinos F. Dialektopoulos , Manuel Hohmann , Jackson Levi Said , Christian Pfeifer , Emmanuel N. Saridakis

Even though it is not possible to differentiate General Relativity from Teleparallel Gravity using classical experiments, it could be possible to discriminate between them by quantum gravitational effects. These effects have motivated the…

General Relativity and Quantum Cosmology · Physics 2017-10-17 Sebastian Bahamonde , Salvatore Capozziello , Mir Faizal , Rafael C. Nunes

We construct a theory in which the gravitational interaction is described only by torsion, but that generalizes the Teleparallel Theory still keeping the invariance of local Lorentz transformations in one particular case. We show that our…

General Relativity and Quantum Cosmology · Physics 2016-07-07 Ednaldo L. B. Junior , Manuel E. Rodrigues

We study a model of Symmetric Teleparallel gravity that is able to account for the current accelerated expansion of the universe without the need for dark energy component. We investigate this model by making use of dynamical system…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-26 José Ferreira , Tiago Barreiro , José P. Mimoso , Nelson J. Nunes

Teleparallel gravity and its popular generalization $f(T)$ gravity can be formulated as fully invariant (under both coordinate transformations and local Lorentz transformations) theories of gravity. Several misconceptions about teleparallel…

General Relativity and Quantum Cosmology · Physics 2019-09-25 M. Krssak , R. J. van den Hoogen , J. G. Pereira , C. G. Boehmer , A. A. Coley

We analyze the construction of conformal theories of gravity in the realm of teleparallel theories. We first present a family of conformal theories which are quadratic in the torsion tensor and are constructed out of the tetrad field and of…

General Relativity and Quantum Cosmology · Physics 2012-01-19 J. W. Maluf , F. F. Faria

We consider the spatially flat Friedmann-Lemaitre-Robertson-Walker space time in the teleparallel model of gravity and assume that the universe is filled nearly by cold dark matter and a nonminimally coupled scalar field with a power-law…

General Relativity and Quantum Cosmology · Physics 2017-04-11 H. Mohseni Sadjadi

A new class of cosmological models in $f(R, T)$ modified theories of gravity proposed by Harko et al. (2011), where the gravitational Lagrangian is given by an arbitrary function of Ricci scalar $R$ and the trace of the stress-energy tensor…

General Physics · Physics 2014-07-15 Nasr Ahmed , Anirudh Pradhan

The hybrid metric-Palatini gravity with Lagrangian density $L =R+f(\mathcal{R},\mathcal{R}_{\mu\nu}\mathcal{R}^{\mu\nu})$ is considered, where $R$ is the metric Ricci scalar and $\mathcal{R}_{\mu\nu}$ is the Palatini Ricci tensor. Contrary…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Shahab Shahidi , Shiva Kayedi

We consider f(Q) extended symmetric teleparallel cosmologies, where Q is the non-metricity scalar, and constrain its functional form through the order reduction method. By using this technique, we are able to reduce and integrate the field…

General Relativity and Quantum Cosmology · Physics 2020-12-03 Francesco Bajardi , Daniele Vernieri , Salvatore Capozziello