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Modified gravity models are subject to a number of consistency requirements which restrict the form that the function $F(R)$ can take. We study a particular class of $F(R)$ functions which satisfy various constraints that have been found in…

天体物理学 · 物理学 2010-04-06 Stephen A. Appleby , Richard A. Battye

We study cosmological solutions in nonlocal teleparallel gravity or $f(T)$ theory, where $T$ is the torsion scalar in teleparallel gravity. This is a natural extenstion of the usual teleparallel gravity with nonlocal terms. In this work the…

广义相对论与量子宇宙学 · 物理学 2018-10-09 Kazuharu Bamba , Davood Momeni , Mudhahir Al Ajmi

Teleparallel Gravity (TG) describes gravitation as a torsional- rather than curvature-based effect. As in curvature-based constructions of gravity, several different formulations can be proposed, one of which is the Teleparallel equivalent…

广义相对论与量子宇宙学 · 物理学 2020-07-01 Soumya Chakrabarti , Jackson Levi Said

We perform observational confrontation and cosmographic analysis of $f(T,T_G)$ gravity and cosmology. This higher-order torsional gravity is based on both the torsion scalar, as well as on the teleparallel equivalent of the Gauss--Bonnet…

广义相对论与量子宇宙学 · 物理学 2024-10-15 Harshna Balhara , J. K. Singh , Shaily , Emmanuel N. Saridakis

In this paper, we have outlined the development of an autonomous dynamical system within a general scalar-tensor gravity framework. This framework encompasses the overall structure of the non-minimally coupled scalar field functions for…

广义相对论与量子宇宙学 · 物理学 2024-10-14 S. A. Kadam , L. K. Duchaniya , B. Mishra

I propose an alternative $f(R)$ theory of gravity constructed by applying the function $f$ directly to the Ricci tensor instead of the Ricci scalar. The main goal of this study is to derive the resulting modified Einstein equations for the…

广义相对论与量子宇宙学 · 物理学 2017-08-16 Tomasz Stachowiak

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…

广义相对论与量子宇宙学 · 物理学 2025-12-18 S. A. Narawade

Physical evolution of cosmological models can be tested by using expansion data, while growth history of these models is capable of testing dynamics of the inhomogeneous parts of energy density. The growth factor, as well as its growth…

广义相对论与量子宇宙学 · 物理学 2024-02-20 Salvatore Capozziello , Maria Caruana , Gabriel Farrugia , Jackson Levi Said , Joseph Sultana

This paper studies the viable regions of some cosmic models in a higher derivative $f(R,\square R, T)$ theory with the help of energy conditions (where $R$ and $T$ are the Ricci scalar, and trace of energy momentum tensor, respectively).…

广义相对论与量子宇宙学 · 物理学 2020-03-03 M. Ilyas , Z. Yousaf , M. Z. Bhatti

We investigate the cosmological solutions of the $f(T)$ gravity theory using the method of dynamical systems. For this purpose a general form of the $f(T)$ function is considered and four conditions are defined that they have to satisfy in…

广义相对论与量子宇宙学 · 物理学 2017-12-12 Behrouz Mirza , Fatemeh Oboudiat

Teleparallel gravity theories employ a tetrad and a Lorentz spin connection as independent variables in their covariant formulation. In order to solve their field equations, it is helpful to search for solutions which exhibit certain…

广义相对论与量子宇宙学 · 物理学 2019-10-09 Manuel Hohmann , Laur Järv , Martin Krššák , Christian Pfeifer

It is well-known that $f(R)$ theories are dynamically equivalent to a particular class of scalar-tensor theories. In analogy to the $f(R)$ extension of the Einstein-Hilbert action of general relativity, $f(T)$ theories are generalizations…

广义相对论与量子宇宙学 · 物理学 2011-03-18 Rong-Jia Yang

The gravitino problem is investigated in the framework of Extended Gravity cosmologies. In particular, we consider $f(R)$ gravity, the most natural extension of the Hilbert-Einstein action, and $f(\cal T)$ gravity, the extension of…

广义相对论与量子宇宙学 · 物理学 2020-12-25 Salvatore Capozziello , Gaetano Lambiase

We construct the energy conditions for the recently proposed $f(R,L,T)$ gravity theory, for which $f$ is a generic function of the Ricci scalar $R$, matter lagrangian density $L$ and trace of the energy-momentum tensor $T$. We analyse two…

广义相对论与量子宇宙学 · 物理学 2024-06-25 Simran Arora , P. H. R. S. Moraes , P. K. Sahoo

In general description of the Raychaudhuri equation it is found that this first order non-linear differential equation can be written as a second order linear differential equation in the form of Harmonic Oscillator with varying frequency.…

广义相对论与量子宇宙学 · 物理学 2023-02-20 Madhukrishna Chakraborty , Akash Bose , Subenoy Chakraborty

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…

宇宙学与河外天体物理 · 物理学 2023-09-26 José Ferreira , Tiago Barreiro , José P. Mimoso , Nelson J. Nunes

We investigate the main features of the flat Friedmann-Lema{\i}tre-Robertson-Walker cosmological models in the f(T) teleparallel gravity. In particular, a general approach to find out exact cosmological solutions in f (T) gravity is…

广义相对论与量子宇宙学 · 物理学 2015-06-17 S. Basilakos , S. Capozziello , M. De Laurentis , A. Paliathanasis , M. Tsamparlis

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…

综合物理 · 物理学 2014-07-15 Nasr Ahmed , Anirudh Pradhan

This paper studies the cosmology of accelerating expansion of the universe in modified teleparallel gravity theory. We discuss the cosmology of $f(T,B)$ gravity theory and its implication to the new general form of the equation of state…

广义相对论与量子宇宙学 · 物理学 2021-02-03 Shambel Sahlu , Joseph Ntahompagaze , Amare Abebe , David F. Mota

Bianchi I cosmological solutions in f(T) gravity are discussed. We start from diagonal metrics and tetrads and show that their dynamical equations are pretty much tractable analytically, with a possible arena for physical applications. Then…

广义相对论与量子宇宙学 · 物理学 2026-02-24 Alexey Golovnev , Mustafa M. Hemida