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$R^2$-corrected dark energy (DE) models in $F(R)$ gravity have been widely investigated in recent years, which not only removes the weak singularity potentially present in DE models but also provide us with a unified picture of the cosmic…

广义相对论与量子宇宙学 · 物理学 2022-10-12 Hua Chen , Taishi Katsuragawa , Shinya Matsuzaki

We investigate two classes of inflationary models, which lead to a stiff period after inflation that boosts the signal of primordial gravitational waves (GWs). In both families of models studied, we consider an oscillating scalar…

高能物理 - 唯象学 · 物理学 2024-10-10 Chao Chen , Konstantinos Dimopoulos , Cem Eröncel , Anish Ghoshal

In this paper we shall consider an exponential inflationary model in the context of vacuum $F(R)$ gravity. By using well-known reconstruction techniques, we shall investigate which $F(R)$ gravity can realize the exponential inflation…

广义相对论与量子宇宙学 · 物理学 2018-03-14 V. K. Oikonomou

Scalar-tensor theory of gravity with non-minimal coupling is a fairly good candidate for dark energy, required to explain late-time cosmic evolution. Here we study the very early stage of evolution of the universe with a modified version of…

高能物理 - 理论 · 物理学 2018-05-22 Ranajit Mandal , Chandramouli Sarkar , Abhik Kumar Sanyal

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

We present some cosmological models which unify the late and early-time acceleration eras with the radiation and the matter domination era, and we realize the cosmological models by using the theoretical framework of $F(R)$ gravity.…

广义相对论与量子宇宙学 · 物理学 2016-06-01 S. D. Odintsov , V. K. Oikonomou

In the approach of the effective field theory of modified gravity, we derive the second-order action and the equation of motion for tensor perturbations on the flat isotropic cosmological background. This analysis accommodates a wide range…

高能物理 - 理论 · 物理学 2015-05-27 Antonio De Felice , Shinji Tsujikawa

In this work we shall study a possible pre-inflationary scenario for our Universe and how this might be realized by $f(R)$ gravity. Specifically, we shall introduce a scenario in which the Universe in the pre-inflationary era contracts…

广义相对论与量子宇宙学 · 物理学 2022-01-05 S. D. Odintsov , V. K. Oikonomou

A viable radiation dominated era in the early universe is best described by the standard (FLRW) model of cosmology. In this short review, we demonstrate reconstruction of the forms of F(R) in the modified theory of gravity and the metric…

广义相对论与量子宇宙学 · 物理学 2024-01-23 Dalia Saha , Manas Chakrabortty , Abhik Kumar Sanyal

In this work, we shall incorporate a stiff era in the Universe's evolution in the context of $F(R)$ gravity. After deriving the vacuum $F(R)$ gravity, which may realize a stiff evolution, we combine the stiff $F(R)$ gravity with an $R^2$…

广义相对论与量子宇宙学 · 物理学 2018-01-17 S. D. Odintsov , V. K. Oikonomou

The recent observations from CMB have imposed a very stringent upper-limit on the tensor/scalar ratio $r$ of inflation models, $r < 0.064$, which indicates that the primordial gravitational waves (PGW), even though possible to be detected,…

宇宙学与河外天体物理 · 物理学 2021-02-03 Taotao Qiu , Taishi Katsuragawa , Shulei Ni

Among the remaining viable theories that can successfully describe the late-time era is the $k$-Essence theory and in this work we study in detail the phase space of $k$-Essence $f(R)$ gravity in vacuum. This theory can describe in a viable…

广义相对论与量子宇宙学 · 物理学 2020-05-20 V. K. Oikonomou , N. Chatzarakis

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…

广义相对论与量子宇宙学 · 物理学 2015-09-21 K. Bamba , A. Lopez-Revelles , R. Myrzakulov , S. D. Odintsov , L. Sebastiani

The effective field theory (EFT) concept provides a necessary tool for obtaining general predictions of low-energy theory valid below its unitarity-breaking scale (cutoff scale). Early Universe inflation and subsequent reheating could be a…

高能物理 - 理论 · 物理学 2026-01-21 Jiaxin Cheng , Anna Tokareva

We consider the large-scale cosmic structure generation by an inflation based on a pure f(R)-type gravity theory. Comparison with recent CMBR observations gives the following results: (1) The near Zel'dovich spectral conditions uniquely…

天体物理学 · 物理学 2011-07-19 J. Hwang , H. Noh

A unified description of early-time inflation with the current cosmic acceleration is achieved by means of a new theory that uses a quadratic model of gravity, with the inclusion of an exponential $F(R)$-gravity contribution for dark…

广义相对论与量子宇宙学 · 物理学 2017-06-28 E. Elizalde , S. D. Odintsov , L. Sebastiani , R. Myrzakulov

We treat a model in which tensor perturbations of de~Sitter spacetime, represented as a spatially flat model, are modified by the effects of the vacuum fluctuations of a massless conformally invariant field, such as the electromagnetic…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Jen-Tsung Hsiang , L. H. Ford , Da-Shin Lee , Hoi-Lai Yu

We study the future evolution of quintessence/phantom dominated epoch in modified $F(R)$-gravity which unifies the early-time inflation with late-time acceleration and which is consistent with observational tests. Using the reconstruction…

高能物理 - 理论 · 物理学 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov

In this letter we shall demonstrate that the viable $F(R)$ gravities can be classified mainly into two classes of inflationary attractors, either the $R^2$ attractors or the $\alpha$-attractors. To show this, we shall derive the most…

广义相对论与量子宇宙学 · 物理学 2020-08-26 S. D. Odintsov , V. K. Oikonomou

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

偏微分方程分析 · 数学 2014-12-30 Philippe G. LeFloch , Yue Ma