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In this paper we investigate how to describe in a unified way a constant-roll inflationary era with a dark energy era, by using the theoretical framework of $F(R)$ gravity. To this end, we introduce some classes of appropriately chosen…

广义相对论与量子宇宙学 · 物理学 2018-03-14 S. D. Odintsov , V. K. Oikonomou , L. Sebastiani

$f(R)$ modifications of Einstein's gravity is an interesting possibility to explain the late time acceleration of the Universe. In this work we explore the cosmological viability of one such $f(R)$ modification proposed in (Kruglov:2013).…

广义相对论与量子宇宙学 · 物理学 2016-07-13 Koushik Dutta , Sukanta Panda , Avani Patel

We propose the mimetic $F(R)$ theory and investigate the early-time and late-time acceleration in such theory. It is demonstrated that inflation consistent with observable data may be realized in such theory. The reconstruction of realistic…

高能物理 - 理论 · 物理学 2014-12-19 Shin'ichi Nojiri , Sergei D. Odintsov

The future finite-time singularities emerging in alternative gravity dark energy models are classified and studied in Jordan and Einstein frames. It is shown that such singularity may occur even in flat spacetime for the specific choice of…

高能物理 - 理论 · 物理学 2009-06-30 S. Capozziello , M. De Laurentis , S. Nojiri , S. D. Odintsov

In this work we construct a formalism that can reveal the general characteristics of classes of viable $F(R)$ inflationary theories. The assumptions we make is that the slow-roll era occurs, and that the de Sitter scalaron mass $m^2(R)$ of…

广义相对论与量子宇宙学 · 物理学 2025-09-30 V. K. Oikonomou

We review recent progress on cosmological issues and theoretical properties of modified gravity theories. In particular, we explicitly explore the conformal transformation, the Starobinsky inflation, and a unified scenario of inflation and…

高能物理 - 理论 · 物理学 2014-03-03 Kazuharu Bamba , Sergei D. Odintsov

We studied a unified approach with the holographic, new agegraphic and the $f(R)$ dark energy model to construct the form of $f(R)$ which in general responsible for the curvature driven explanation of the very early inflation along with…

广义相对论与量子宇宙学 · 物理学 2013-11-05 Barun Majumder

We explore conformal-anomaly driven inflation in $F(R)$ gravity without invoking the scalar-tensor representation. We derive the stress-energy tensor of the quantum anomaly in the flat homogeneous and isotropic universe. We investigate a…

高能物理 - 理论 · 物理学 2014-08-13 Kazuharu Bamba , R. Myrzakulov , S. D. Odintsov , L. Sebastiani

We calculate the f(R) gravity function in the dual gravity description of the quintessence model with a quadratic (Linde) scalar potential and a positive cosmological constant. We find that in the large curvature regime relevant to chaotic…

高能物理 - 理论 · 物理学 2018-05-09 Sergei V. Ketov , Natsuki Watanabe

To explain the accelerated expansion of late universe, the 1/R correction to Einstein gravity is usually considered, where R is the Ricci scalar. This correction term is generally believed to be negligible in the early universe. However, if…

宇宙学与河外天体物理 · 物理学 2014-11-20 Shi Pi , Tower Wang

Modified f(R) gravity is one of the most promising candidates for dark energy, and even for the unification of the whole cosmological evolution, including the inflationary phase. Within this class of theories, the so-called viable modified…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Diego Sáez-Gómez

Two $F(R)$ gravity models are tested on the basis of their viability during all stages of cosmological evolution. It is shown that these models can describe both the early-time inflationary epoch and the dark energy epoch. The models are…

广义相对论与量子宇宙学 · 物理学 2026-02-10 S. D. Odintsov , V. K. Oikonomou , G. S. Sharov

The present thesis is focused on the study of FLRW cosmology in modified gravities and with scalar fields. The mystery of dark energy has made that the last decade, many efforts in theoretical physics have been focused on the explanation of…

高能物理 - 理论 · 物理学 2011-04-06 Diego Sáez-Gómez

Recently, a combined model of the primordial inflation and the present cosmic acceleration has been proposed in the context of f(R) gravity. This model is composed of the late-time acceleration term and an R2 term, which enables the model…

宇宙学与河外天体物理 · 物理学 2014-04-23 Atsushi Nishizawa , Hayato Motohashi

We provide a detailed quantitative description of singular inflation. Its close analogy with finite-time future singularity which is associated to dark energy era is described. Calling and classifying the singularities of such inflation as…

广义相对论与量子宇宙学 · 物理学 2015-05-27 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

We review the new theory of modified supergravity, dubbed F(\cal R) supergravity, and some of its recent applications to inflation and reheating in the early universe cosmology. The F(\cal R) supergravity is the N=1 locally supersymmetric…

高能物理 - 理论 · 物理学 2013-06-18 Sergei V. Ketov

We investigate the quintessential inflation in the logarithmic Cartan $F(R)$ gravity. A small logarithmic modification of the general relativity has the potential to introduce both inflation and dark energy. We evaluate the time evolution…

高能物理 - 理论 · 物理学 2023-12-20 Tomohiro Inagaki , Masahiko Taniguchi

The availability of scaling solutions in renormalisation group improved versions of cosmology are investigated in the high-energy limit. We adopt $f(R)$-type models of quantum gravity which display an interacting ultraviolet fixed point at…

广义相对论与量子宇宙学 · 物理学 2018-05-16 Kevin Falls , Daniel F. Litim , Kostas Nikolakopoulos , Christoph Rahmede

We consider FRW cosmology in non-local modified gravity. Its local scalar-tensor formulation is developed. It is explicitly demonstrated that such theory may lead to the unification of early-time inflation with late-time cosmic…

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

We investigate the evolution of the linear cosmological perturbations in f(R) gravity, an alternative to dark energy for explaining the late-time cosmic acceleration. We numerically calculate the early-time evolution with an approximation…

宇宙学与河外天体物理 · 物理学 2011-08-16 Je-An Gu , Tse-Chun Wang , Yen-Ting Wu , Pisin Chen , W-Y. Pauchy Hwang