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The cosmological evolution within the framework of exponential $F(R)$ gravity is analysed by assuming two forms for dark matter: (a) a standard dust-like fluid and (b) an axion scalar field. As shown in previous literature, an axion-like…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Sergei D. Odintsov , Diego Sáez-Chillón Gómez , German S. Sharov

We investigate the cosmological evolution of mimetic matter model with arbitrary scalar potential. The cosmological reconstruction, which is the way to construct a model for arbitrary evolutions of the scale factor, is explicitly done for…

General Relativity and Quantum Cosmology · Physics 2015-04-01 Jiro Matsumoto , Sergei D. Odintsov , Sergey V. Sushkov

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

Here, we peruse cosmological usage of the most promising candidates of dark energy in the framework of f(R) theory. We reconstruct the different f(R) modified gravity models in the spatially flat FRW universe according to the ordinary and…

General Relativity and Quantum Cosmology · Physics 2011-07-18 K. Karami , M. S. Khaledian

We investigate the growth of matter fluctuations in holographic dark energy cosmologies. First we use an overall statistical analysis involving the latest observational data in order to place constraints on the cosmological parameters. Then…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-16 Ahmad Mehrabi , Spyros Basilakos , Mohammad Malekjani , Zahra Davari

We study the equations for the evolution of cosmological perturbations in $f\left(\mathcal{R}\right)$ and conclude that this modified gravity model can be expressed as a dark energy fluid at background and linearised perturbation order. By…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-17 R. A. Battye , B. Bolliet , J. A. Pearson

Measurements of the growth index $\gamma(z)$ provide a clue as to whether Einstein's field equations encompass gravity also on large cosmic scales, those where the expansion of the universe accelerates. We show that the information encoded…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Heinrich Steigerwald , Julien Bel , Christian Marinoni

The behavior of cosmological evolution is studied in the case when a phantom fluid, that contributes to the universe accelerated expansion, is introduced in an F (R) model. At the early stages of the universe history, the dark fluid is seen…

High Energy Physics - Theory · Physics 2011-07-18 Emilio Elizalde , Diego Sáez-Gómez

In the context of $f(R)$ theories of gravity, we study the evolution of scalar cosmological perturbations in the metric formalism. Using a completely general procedure, we find the exact fourth-order differential equation for the matter…

Astrophysics · Physics 2008-11-26 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

We provide for the first time the growth index of linear matter fluctuations of the power law $f(T) \propto (-T)^{b}$ gravity model. We find that the asymptotic form of this particular $f(T)$ model is $\gamma \approx \frac{6}{11-6b}$ which…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Spyros Basilakos

A generic feature of viable exponential $F(R)$-gravity is investigated. An additional modification to stabilize the effective dark energy oscillations during matter era is proposed and applied to two viable models. An analysis on the future…

General Relativity and Quantum Cosmology · Physics 2015-09-21 K. Bamba , A. Lopez-Revelles , R. Myrzakulov , S. D. Odintsov , L. Sebastiani

To explain the acceleration of the cosmological expansion researchers have considered an unusual form of mass-energy generically called dark energy. Dark energy has a ratio of pressure over mass density which obeys $w=p/\rho <-1/3$. This…

High Energy Physics - Theory · Physics 2008-12-19 Max Chaves , Douglas Singleton

Assuming a simple form for the growth index gamma(z) depending on two parameters gamma_0 = gamma(z=0) and gamma_1 = gamma'(z=0), we show that these parameters can be constrained using background expansion data. We explore systematically the…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-31 Radouane Gannouji , David Polarski

Inspired by the $f(R)$ non-linear massive gravity, we propose a new kind of modified gravity model, namely $f(T)$ non-linear massive gravity, by adding the dRGT mass term reformulated in the vierbein formalism, to the $f(T)$ theory. We then…

General Relativity and Quantum Cosmology · Physics 2025-03-28 You Wu , Zu-Cheng Chen , Jiaxin Wang , Hao Wei

We study $F(R)$ modified gravity models which are capable of driving the accelerating epoch of the Universe at the present time whilst not destroying the standard Big Bang and inflationary cosmology. Recent studies have shown that a weak…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Stephen Appleby , Richard Battye , Alexei Starobinsky

We re-analyze the nonlocal gravity model of Deser and Woodard which was proposed to account for the current phase of cosmic acceleration. We show that the growth of perturbations predicted by this nonlocal gravity model when its background…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-05 Sohyun Park , Arman Shafieloo

We study pilgrim dark energy model by taking IR cut-offs as particle and event horizons as well as conformal age of the universe. We derive evolution equations for fractional energy density and equation of state parameters for pilgrim dark…

General Relativity and Quantum Cosmology · Physics 2015-02-09 M. Sharif , M. Zubair

We investigate the evolution of a spatially flat Friedmann-Robertson-Walker (FRW) universe in the framework of scalar non-metricity theory of gravity. In the model, we consider dark matter (DM) and dark energy (DE) described by the scalar…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Bikash Chandra Roy , Bikash Chandra Paul

The recent observations of the Dark Energy Spectroscopic Instrument (DESI) indicated the possibility that the dark energy equation of state parameter $w$ might change from $w<-1$ to $w>-1$ when the redshift $z\sim 0.5$, which is called the…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Shin'ichi Nojiri , Sergei D. Odintsov , V. K Oikonomou

In the context of f(R, T) gravity theory for the flat Friedmann Lemaitre Robertson Walker (FLRW) model, the accelerating expansion of the universe is investigated using a specific form of the emergent Hubble parameter. Datasets from H(z),…

General Relativity and Quantum Cosmology · Physics 2025-01-16 N. Myrzakulov , S. H. Shekh , Anirudh Pradhan , Archana Dixit