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Inspired by an exponential $f(R)$ gravity model studied in the literature, in this work we introduce a new and viable $f(Q)$ gravity model, which can be represented as a perturbation of $\Lambda$CDM. Typically, within the realm of $f(Q)$…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-31 A. Oliveros , Mario A. Acero

Recent observational evidences of accelerating phase of the universe strongly demand that the dominating matter in the universe is in the form of dark energy. In this work, we study the evolution of the apparent and event horizons for…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Ritabrata Biswas , Nairwita Mazumder , Subenoy Chakraborty

Various cosmological models in frames of $F(T)$ gravity are considered. The general scheme of constructing effective dark energy models with various evolution is presented. It is showed that these models in principle are compatible with…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Artyom V. Astashenok

In the literature, it was proposed that the growth index $\gamma$ is useful to distinguish the scenarios of dark energy and modified gravity. In the present work, we consider the constraints on the growth index $\gamma$ by using the latest…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-22 Zhao-Yu Yin , Hao Wei

We study a model of $F(R)$ gravity in which a crossing of the phantom divide can be realized. In particular, we demonstrate the behavior of $F(R)$ gravity around a crossing of the phantom divide by taking into account the presence of cold…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-07 Kazuharu Bamba

The gravitational growth index formalism provides a model independent way to look for deviations from general relativity by testing dark energy physics distinct from its effects on the cosmic expansion history. Here we extend the approach…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Eric V. Linder

Here, cosmology of the late and future universe is obtained from $f(R)$-gravity with non-linear curvature terms $R^2$ and $R^3$ ($R$ being the Ricci scalar curvature). It is different from $f(R)$-dark enrgy models, where non-linear…

General Relativity and Quantum Cosmology · Physics 2009-09-17 S. K. Srivastava

We study the growth of matter density perturbations delta_m for a number of viable f(R) gravity models that satisfy both cosmological and local gravity constraints, where the Lagrangian density f is a function of the Ricci scalar R. If the…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-05 Shinji Tsujikawa , Radouane Gannouji , Bruno Moraes , David Polarski

In this study, we analyse constraints on the growth index of matter perturbations, $\gamma$, within the framework of $f(Q)$ gravity, using recent cosmological observations, at the background and the perturbation levels, including…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Dalale Mhamdi , Safae Dahmani , Amine Bouali , Imad El Bojaddaini , Taoufik Ouali

We investigate the cosmological behavior of mimetic F(R) gravity. This scenario is the F(R) extension of usual mimetic gravity classes, which are based on re-parametrizations of the metric using new, but not propagating, degrees of freedom,…

General Relativity and Quantum Cosmology · Physics 2015-04-22 Genly Leon , Emmanuel N. Saridakis

All $f(R)$ modified gravity theories are conformally identical to models of quintessence in which matter is coupled to dark energy with a strong coupling. This coupling induces a cosmological evolution radically different from standard…

Astrophysics · Physics 2008-11-26 Luca Amendola , David Polarski , Shinji Tsujikawa

The growth rate of matter perturbation and the expansion rate of the Universe can be used to distinguish modified gravity and dark energy models in explaining the cosmic acceleration. The growth rate is parametrized by the growth index…

Astrophysics · Physics 2009-01-08 Yungui Gong

In this paper, we propose two new models in $f(T)$ gravity to realize universe acceleration and phantom crossing due to dark torsion in the formalism. The model parameters are constrained and the observational test are discussed. The best…

General Physics · Physics 2015-06-03 H. Farajollahi , A. Ravanpak , P. Wu

We investigate the cosmological predictions of several $f(T)$ models, with up to two parameters, at both the background and the perturbation levels. Using current cosmological observations (geometric supernovae type Ia, cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-17 S. Nesseris , S. Basilakos , E. N. Saridakis , L. Perivolaropoulos

We study dynamical dark energy models within Einstein's theory by means of matter perturbations and the growth index $\gamma$. Within four-dimensional General Relativity, we assume that dark energy does not cluster, and we adopt a linear…

General Relativity and Quantum Cosmology · Physics 2023-06-07 G. Panotopoulos , G. Barnert , L. E. Campusano

We provide insight about the full form of the equations for matter density perturbations and the scalar Bardeen metric potentials in general $f(R)$ theories of gravity. When considering viable modifications to the standard $\Lambda$CDM…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Miguel Barroso Varela , Álvaro de la Cruz-Dombriz

We have probed a cosmological model in $f(R)$-gravity, which is a cubic equation in scalar curvature $R$. The terms arise due to nonlinear $f(R)$ function are treated as energy due to curvature inspired geometry. As a result, we find…

General Relativity and Quantum Cosmology · Physics 2023-05-03 G. K. Goswami , Rita Rani , Harshna Balhara , J. K. Singh

We study models of late-time cosmic acceleration in terms of scalar-tensor theories generalized to include a certain class of non-linear derivative interaction of the scalar field. The non-linear effect suppress the scalar-mediated force at…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Tsutomu Kobayashi

We investigate the linear growth rate of cosmological matter density perturbations of a viable f(R) model both numerically and analytically. We find that the growth rate in the scalar-tensor regime can be characterized by a simple analytic…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Tatsuya Narikawa , Kazuhiro Yamamoto

We study for the first time the dynamical properties and the growth index of linear matter perturbations of the Finsler-Randers (FR) cosmological model, for which we consider that the cosmic fluid contains matter, radiation and a scalar…

General Relativity and Quantum Cosmology · Physics 2017-11-22 G. Papagiannopoulos , S. Basilakos , A. Paliathanasis , S. Savvidou , P. C. Stavrinos