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It is shown that a first-order relativistic perturbation theory for the open, flat or closed Friedmann-Lemaitre-Robertson-Walker universe admits one, and only one, gauge-invariant quantity which describes the perturbation to the energy…

General Relativity and Quantum Cosmology · Physics 2014-03-25 P. G. Miedema

The cosmological evolution of an interacting scalar field model in which the scalar field interacts with dark matter, radiation, and baryon via Lorentz violation is investigated. We propose a model of interaction through the effective…

High Energy Physics - Theory · Physics 2009-09-29 Freddy P. Zen , Arianto , Bobby E. Gunara , Triyanta , A. Purwanto

We study the growth of linear matter density perturbations in a modified gravity approach of scalar field couplings with metric and torsion. In the equivalent scalar-tensor formulation, the matter fields in the Einstein frame interact as…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Mohit Kumar Sharma , Sourav Sur

In this work we study the cosmological perturbations in Bahamonde-Dialektopoulos-Levi Said (BDLS) theory, i.e. the teleparallel analog of Horndeski gravity. In order to understand the evolution of structure in a cosmological model, it is…

General Relativity and Quantum Cosmology · Physics 2023-06-26 Bobomurat Ahmedov , Konstantinos F. Dialektopoulos , Jackson Levi Said , Abdurakhmon Nosirov , Odil Yunusov , Zinovia Oikonomopoulou

We discuss second-order cosmological perturbations on super-Hubble scales, in a scalar field dominated universe, such as during single field inflation. In this contest we show that the gauge-invariant curvature perturbations defined on…

Astrophysics · Physics 2008-11-26 Filippo Vernizzi

In this work, we study tracker phantom dark energy models with a general parameterization of the scalar potentials. Our analysis also considers the scenario of having both phantom field and the cosmological constant as the dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-18 Francisco X. Linares Cedeño , Nandan Roy , L. Arturo Ureña-López

We use data from Type Ia Supernovae (SNIa), Baryon Acoustic Oscillations (BAO), and Cosmic Microwave Background (CMB) observations to constrain the recently proposed teleparallel dark energy scenario based on the teleparallel equivalent of…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-12 Chao-Qiang Geng , Chung-Chi Lee , Emmanuel N. Saridakis

This paper examines the late-time accelerating Universe and the formation of large-scale structures within the modified symmetric teleparallel gravity framework, specifically using the $f(Q)$-gravity model, in light of recent cosmological…

General Relativity and Quantum Cosmology · Physics 2024-12-31 Shambel Sahlu , Amare Abebe

The current standard cosmological model is constructed within the framework of general relativity with a cosmological constant $\Lambda$, which is often associated with dark energy, and phenomenologically explains the accelerated cosmic…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Jiamin Hou , Julian Bautista , Maria Berti , Carolina Cuesta-Lazaro , César Hernández-Aguayo , Tilman Tröster , Jinglan Zheng

The relation between the long wavelength limit of solutions to the cosmological perturbation equations and the perturbations of solutions to the exactly homogeneous background equations is investigated for scalar perturbations on spatially…

General Relativity and Quantum Cosmology · Physics 2009-10-30 H. Kodama , T. Hamazaki

The exploration of teleparallel gravity has been done from a dynamical systems point of view in order to be tested against the cosmological evolution currently observed. So far, the proposed autonomous systems have been restrictive over a…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Geovanny A. Rave-Franco , Celia Escamilla-Rivera , Jackson Levi Said

We consider the evolution of perturbed cosmological spacetime with multiple fluids and fields in Einstein gravity. Equations are presented in gauge-ready forms, and are presented in various forms using the curvature (\Phi or \phi_\chi) and…

Astrophysics · Physics 2010-05-28 J. Hwang , H. Noh

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…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Soumya Chakrabarti , Jackson Levi Said

We have investigated the evolution of a homogeneous isotropic background of the Universe and inhomogeneous subhorizon matter density perturbations in viable $f(R)$ models of present dark energy and cosmic acceleration analytically and…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-05 Hayato Motohashi , Alexei A. Starobinsky , Jun'ichi Yokoyama

We investigate non phantom tracker scalar field models as dynamical dark energy scenario. These models can alleviate the cosmic coincidence problem and transition to a cosmological constant-like behaviour at late times. Focusing on the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-03 Md. Wali Hossain , Afaq Maqsood

I discuss the issue of degrees of freedom in modified teleparallel gravity. These theories do have an extra structure on top of the usual (pseudo)Riemannian manifold, that of a flat parallel transport. This structure is absolutely abstract…

General Relativity and Quantum Cosmology · Physics 2024-08-29 Alexey Golovnev

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…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-18 James B. Dent , Sourish Dutta , Emmanuel N. Saridakis

The cosmological propagation of tensor perturbations is studied in the context of parity-violating extensions of the symmetric teleparallel equivalent of General Relativity theory. This non-Riemannian formulation allows for a wider variety…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Aindriú Conroy , Tomi Koivisto

We study tensor perturbations around the most general cosmologically symmetric backgrounds in a class of teleparallel gravity theories known as New General Relativity. These theories comprise a one-parameter class, which is fully consistent…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Manuel Hohmann , Christian Pfeifer

In this paper we review in detail a number of approaches that have been adopted to try and explain the remarkable observation of our accelerating Universe. In particular we discuss the arguments for and recent progress made towards…

High Energy Physics - Theory · Physics 2008-11-26 Edmund J. Copeland , M. Sami , Shinji Tsujikawa