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We show that there exist modified theories of gravity in which the metric satisfies second-order equations and in which the Big Bang singularity is replaced by a cosmic bounce without violating any energy condition. In fact, the bounce is…

广义相对论与量子宇宙学 · 物理学 2010-02-23 Carlos Barragan , Gonzalo J. Olmo , Helios Sanchis-Alepuz

Modified gravity has attracted much attention over the last few years and remains a potential candidate for dark energy. In particular, the so-called viable f(R) gravity theories, which are able to both recover General Relativity (GR) and…

广义相对论与量子宇宙学 · 物理学 2016-04-20 Alvaro de la Cruz-Dombriz , Peter K. S. Dunsby , Sulona Kandhai , Diego Saez-Gomez

We classify singularities in FRW cosmologies, which dynamics can be reduced to the dynamical system of the Newtonian type. This classification is performed in terms of geometry of a potential function if it has poles. At the sewn…

广义相对论与量子宇宙学 · 物理学 2017-09-29 Aleksander Stachowski , Marek Szydlowski , Andrzej Borowiec

We study cosmological expansion in F(R) gravity using the trace of the field equations. High frequency oscillations in the Ricci scalar, whose amplitude increase as one evolves backward in time, have been predicted in recent works. We show…

天体物理学 · 物理学 2009-06-23 S. A. Appleby , R. A. Battye

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…

天体物理学 · 物理学 2008-11-26 Luca Amendola , David Polarski , Shinji Tsujikawa

We present an application to cosmological models in $f({\cal R})$ theories within the Palatini formalism of a method that combines cosmography and the explicit form of the field equations in the calculation of the redshift drift. The method…

广义相对论与量子宇宙学 · 物理学 2019-03-28 F. A. Teppa Pannia , S. E. Perez Bergliaffa , N. Manske

We present an introduction to cosmic inflation in the framework of Palatini gravity, which provides an intriguing alternative to the conventional metric formulation of gravity. In the latter, only the metric specifies the spacetime…

广义相对论与量子宇宙学 · 物理学 2025-01-23 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Eemeli Tomberg

Recent supernovae of type Ia measurements and other astronomical observations suggest that our universe is in accelerating phase of evolution at the present epoch. While a dark energy of unknown form is usually proposed as the most feasible…

天体物理学 · 物理学 2008-11-26 Andrzej Borowiec , Wlodzimierz Godlowski , Marek Szydlowski

$f(R)$ gravity, capable of driving the late-time acceleration of the universe, is emerging as a promising alternative to dark energy. Various $f(R)$ gravity models have been intensively tested against probes of the expansion history,…

天体物理学 · 物理学 2009-04-01 Xin-Juan Yang , Da-Ming Chen

We show that f(R)-gravity can, in general, give rise to cosmological viable models compatible with a matter-dominated epoch evolving into a late accelerated phase. We discuss the various representations of f(R)-gravity as an ideal fluid or…

天体物理学 · 物理学 2008-11-26 S. Capozziello , S. Nojiri , S. D. Odintsov , A. Troisi

We consider cosmological constraints arising from the background expansion history on the ef- fective field theory of cosmic acceleration, a theoretical framework that allows for a unified way to classify both models of dark energy and…

宇宙学与河外天体物理 · 物理学 2013-04-10 Eva-Maria Mueller , Rachel Bean , Scott Watson

We consider FRW cosmology in $f(R)= R+ \gamma R^2+\delta R^3$ modified framework. The Palatini approach reduces its dynamics to the simple generalization of Friedmann equation. Thus we study the dynamics in two-dimensional phase space with…

广义相对论与量子宇宙学 · 物理学 2017-09-29 Marek Szydlowski , Aleksander Stachowski , Andrzej Borowiec

We investigate the logarithmic form of $f(Q,T)$ gravity with two different choices of matter Lagrangian such as: $\mathcal{L}_m = p$ and $\mathcal{L}_m = -\rho$. The parameters of the model has been constrained using Cosmic Chronometers…

广义相对论与量子宇宙学 · 物理学 2025-09-18 Rahul Bhagat , I. V. Fomin , B. Mishra

We propose a new exponential f(R) gravity model with f(R)=(R-\lambda c)e^{\lambda(c/R)^n} and n>3, \lambda\geq 1, c>0 to explain late-time acceleration of the universe. At the high curvature region, the model behaves like the \LambdaCDM…

宇宙学与河外天体物理 · 物理学 2015-06-04 Qiang Xu , Bin Chen

We review the Palatini formulation of the higher-derivative gravity of the $L(R)$ form and its applications in cosmology.

天体物理学 · 物理学 2007-05-23 Peng Wang , Xin-He Meng

We introduce in $f(R)$ gravity--Palatini formalism the method of inverse problem to extract the action from the expansion history of the universe. First, we use an ansatz for the scale factor and apply the inverse method to derive an…

宇宙学与河外天体物理 · 物理学 2010-05-28 Shant Baghram , Sohrab Rahvar

We consider multidimensional gravity with a Lagrangian containing the Ricci tensor squared and the Kretschmann invariant. In a Kaluza-Klein approach with a single compact extra space of arbitrary dimension, with the aid of a slow-change…

广义相对论与量子宇宙学 · 物理学 2009-11-13 K. A. Bronnikov , S. A. Kononogov , V. N. Melnikov , S. G. Rubin

We explore the possibility of emergent cosmology using the effective potential formalism. We discover new models of emergent cosmology which satisfy the constraints posed by the cosmic microwave background (CMB). We demonstrate that, within…

宇宙学与河外天体物理 · 物理学 2014-07-18 Satadru Bag , Varun Sahni , Yuri Shtanov , Sanil Unnikrishnan

We study general $f(R,\phi)$ theories in Palatini formalism and attempt to constrain the behavior of ones that could support both inflationary and late-time expansion era in a unified model. In particular, we find conditions for which the…

广义相对论与量子宇宙学 · 物理学 2025-12-22 Rahul Thakur , Abhijith Ajith , Sukanta Panda , Archit Vidyarthi

Several features of an $f(R)$ theory in which there is a maximum value for the curvature are analyzed. The theory admits the vaccuum solutions of GR, and also the radiation evolution for the scale factor of the standard cosmological model.…

广义相对论与量子宇宙学 · 物理学 2013-01-08 J. C. Fabris , R. S. Perez , S. E. Perez Bergliaffa , N. Pinto-Neto