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A bouncing universe is a viable candidate to solve the initial singularity problem. Here we consider bouncing solutions in the context of $f(R,\mathcal{G})$ gravity by using an order reduction technique which allows one to find solutions…

广义相对论与量子宇宙学 · 物理学 2020-06-24 Bruno J. Barros , Elsa M. Teixeira , Daniele Vernieri

We study the formation of large-scale structure in universes dominated by dark matter and driven to accelerated expansion by f(R) gravity in the Palatini formalism. If the dark matter is cold, practically all of these models are ruled out…

天体物理学 · 物理学 2008-11-26 Tomi Koivisto

The field equations in $f(R)$ gravity derived from the Palatini variational principle and formulated in the Einstein conformal frame yield a cosmological term which varies with time. Moreover, they break the conservation of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Nikodem J. Poplawski

f(R) gravity is thought to be an alternative to dark energy which can explain the acceleration of the universe. It has been tested by different observations including type Ia supernovae (SNIa), the cosmic microwave background (CMB), the…

宇宙学与河外天体物理 · 物理学 2012-07-12 Kai Liao , Zong-Hong Zhu

For higher-derivative f(R) gravity where R is the Ricci scalar, a class of models is proposed which produce viable cosmology different from the LambdaCDM one at recent times and satisfy cosmological, Solar system and laboratory tests. These…

天体物理学 · 物理学 2009-07-09 Alexei A. Starobinsky

In this paper we present the techniques for computing cosmological bounces in polynomial $f(R)$ theories, whose order is more than two, for spatially flat FLRW spacetime. In these cases the conformally connected Einstein frame shows up…

广义相对论与量子宇宙学 · 物理学 2016-02-17 Kaushik Bhattacharya , Saikat Chakrabarty

The problem of cosmological particle creation for a spatially flat, homogeneous and isotropic Universes is discussed in the context of f(R) theories of gravity. Different from cosmological models based on general relativity theory, it is…

宇宙学与河外天体物理 · 物理学 2011-07-01 S. H. Pereira , C. H. G. Bessa , J. A. S. Lima

We apply the bottom-up reconstruction technique in the context of bouncing cosmology in F(R) gravity, where the starting point is a suitable ansatz of observable quantity (like spectral index or tensor to scalar ratio) rather than a priori…

广义相对论与量子宇宙学 · 物理学 2020-09-01 S. D. Odintsov , V. K. Oikonomou , Tanmoy Paul

Matter and quasi-matter bounce scenarios are studied for an F(R) gravity model with holonomy corrections and a Lagrange multiplier, with a scale factor $a(t) = \left(a_0t^2 + 1 \right)^n$, where the Hubble parameter squared has a linear and…

广义相对论与量子宇宙学 · 物理学 2020-01-29 Emilio Elizalde , S. D. Odintsov , Tanmoy Paul

We make a systematic study of the cosmological dynamics for a number of f(R) gravity theories in Palatini formalism. We find a number of interesting results: (i) models based on theories of the type (a) f(R)=R-beta R^n and (b) f(R)=R+alpha…

天体物理学 · 物理学 2008-11-26 Stephane Fay , Reza Tavakol , Shinji Tsujikawa

Modified theories of gravity have been invoked recently as an alternative to dark energy, in an attempt to explain the apparent accelerated expansion of the universe at the present time. In order to describe inhomogeneities in cosmological…

广义相对论与量子宇宙学 · 物理学 2016-04-15 Adam J. Christopherson

We study particle production in infrared-modified gravitational theories in the contemporary universe. It is shown that in astronomical systems with rising mass density, the curvature scalar may oscillate with very high frequency. These…

广义相对论与量子宇宙学 · 物理学 2015-06-16 E. V. Arbuzova , A. D. Dolgov , L. Reverberi

The $f(R)$ gravity models proposed by Hu-Sawicki and Starobinsky are generic for local gravity constraints to be evaded. The large deviations from these models either result into violation of local gravity constraints or the modifications…

高能物理 - 理论 · 物理学 2010-03-26 I. Thongkool , M. Sami , R. Gannouji , S. Jhingan

Since viable $f(R)$ gravity models must reconcile early-universe inflation with late-time acceleration, we specifically study the dynamical behavior of such a theory during the matter-dominated to dark-energy-dominated transition epoch. By…

宇宙学与河外天体物理 · 物理学 2026-03-03 Siqi He , Weiqiang Yang , Hangyi Jin

The $f(R)$ theory of gravitation developed perturbatively around the general theory of relativity with cosmological constant (the \text{$\Lambda$}CDM model) in a flat FLWR geometry is considered. As a result, a general explicit cosmological…

广义相对论与量子宇宙学 · 物理学 2025-02-25 Pham Van Ky , Nguyen Thi Hong Van , Nguyen Anh Ky

Using Mukhanov-Chamseddine mimetic approach, we study $F(R)$ gravity with scalar potential and Lagrange multiplier constraint. As we demonstrate, for a given $F(R)$ gravity and for suitably chosen mimetic potential, it is possible to…

广义相对论与量子宇宙学 · 物理学 2015-11-10 S. D. Odintsov , V. K. Oikonomou

We reconstruct $F(R)$ gravity models with exponential and power-law forms of the scale factor in which bounce cosmology can be realized. We explore the stability of the reconstructed models with analyzing the perturbations from the…

高能物理 - 理论 · 物理学 2014-01-10 Kazuharu Bamba , Andrey N. Makarenko , Alexandr N. Myagky , Shin'ichi Nojiri , Sergei D. Odintsov

The challenging issue of determining the correct $f(R)$ among several possibilities is here revised by means of numerical reconstructions of the modified Friedmann equations around the redshift interval $z\in[0,1]$. Frequently, a severe…

宇宙学与河外天体物理 · 物理学 2015-06-24 Liberato Pizza

We analyse the $f(R)$ gravity in the so-called Jordan frame, as implemented to the isotropic Universe dynamics. The goal of the present study is to show that, according to recent data analyses of the supernovae Ia Pantheon sample, it is…

广义相对论与量子宇宙学 · 物理学 2023-04-12 Tiziano Schiavone , Giovanni Montani , Flavio Bombacigno

We investigate a bounce realization in the framework of higher order curvature in $ f(R,T) $ modified theory of gravity. We perform a detailed analysis of the cosmological parameters to explain the contraction phase, the bounce phase, and…

广义相对论与量子宇宙学 · 物理学 2023-07-19 J. K. Singh , Shaily , Akanksha Singh , Aroonkumar Beesham , Hamid Shabani