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相关论文: Preventing Curvature Singularities in $f(R)$ Dark …

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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…

宇宙学与河外天体物理 · 物理学 2015-03-13 Stephen Appleby , Richard Battye , Alexei Starobinsky

Although $f(R)$ modified gravity models can be made to satisfy solar system and cosmological constraints, it has been shown that they have the serious drawback of the nonexistence of stars with strong gravitational fields. In this paper, we…

天体物理学 · 物理学 2009-01-21 Tsutomu Kobayashi , Kei-ichi Maeda

In this paper, I point out that there is a curvature singularity problem appearing on non-linear level that generally plagues f(R) models that modify Einstein gravity in the infrared. It is caused by the fact that for the effective scalar…

天体物理学 · 物理学 2008-11-26 Andrei V. Frolov

A class of viable $F(R)$ gravity models which can provide a unified description of inflation with the dark energy era is confronted with the latest observational data on the dark energy era. These models have the unique characteristic that…

广义相对论与量子宇宙学 · 物理学 2025-09-23 S. D. Odintsov , V. K. Oikonomou , G. S. Sharov

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

We study FRW cosmology for a non-linear modified F(R) Horava-Lifshitz gravity which has a viable convenient counterpart. A unified description of early-time inflation and late-time acceleration is possible in this theory, but the…

高能物理 - 理论 · 物理学 2011-02-09 E. Elizalde , S. Nojiri , S. D. Odintsov , D. Saez-Gomez

The curvature singularity in viable f(R) gravity models is examined when the background density is dense. This singularity could be eliminated by adding the $R^{2}$ term in the Lagrangian. Some of cosmological consequences, in particular…

宇宙学与河外天体物理 · 物理学 2012-09-03 Chung-Chi Lee , Chao-Qiang Geng , Louis Yang

$F(R)$ models for dark energy generally exhibit a weak curvature singularity, which can be cured by adding an $R^2$ term. This correction allows for a unified description of primordial and late-time accelerated expansions. However, most…

宇宙学与河外天体物理 · 物理学 2025-11-04 Hua Chen

A generic feature of viable $F(R)$ gravity is investigated: It is demonstrated that during the matter dominated era the large frequency oscillations of the effective dark energy may influence the behavior of higher derivatives of the Hubble…

广义相对论与量子宇宙学 · 物理学 2012-12-14 Kazuharu Bamba , Antonio Lopez-Revelles , R. Myrzakulov , S. D. Odintsov , L. Sebastiani

We study gravitational collapse of a charged black hole in f(R) gravity using double-null formalism. We require cosmological stability to f(R) models; we used the Starobinsky model and the R + (1/2)cR^2 model. Charged black holes in f(R)…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Dong-il Hwang , Bum-Hoon Lee , Dong-han Yeom

We review the accelerating (mainly, dark energy) cosmologies in modified gravity. Special attention is paid to cosmologies leading to finite-time future singularities in $F(R)$, $F(G)$ and $\mathcal{F}(R,G)$ modified gravities. The removal…

广义相对论与量子宇宙学 · 物理学 2013-02-21 Kazuharu Bamba , Shin'ichi Nojiri , Sergei D. Odintsov

We present a brief review of various approaches to late time acceleration of universe. The cosmological relevance of scaling solutions is emphasized in case of scalar field models of dark energy. The underlying features of a variety of…

高能物理 - 理论 · 物理学 2009-01-21 M. Sami

The exponential $f(R)$ gravity model provides a theoretically well-motivated extension of General Relativity, introducing a modified gravitational dynamics at late times consistent with a dynamical dark energy scenario, while recovering the…

广义相对论与量子宇宙学 · 物理学 2025-11-11 Simone D'Onofrio , Sergei Odintsov , Tiziano Schiavone

We put forward novel extensions of Starobinsky inflation, involving a class of 'geometric' higher-curvature corrections that yield second-order Friedmann-Lema\^itre equations and second-order-in-time linearized equations around cosmological…

高能物理 - 理论 · 物理学 2021-05-26 Pablo A. Cano , Kwinten Fransen , Thomas Hertog

Extra dimensions, which led to the foundation and inception of string theory, provide an elegant approach to force-unification. With bulk curvature as high as the Planck scale, higher curvature terms, namely f(R) gravity seems to be a…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Indrani Banerjee , Bhaswati Mandal , Soumitra SenGupta

In this work we study certain classes of $F(R,{\cal G})$ gravity which have appealing phenomenological features, with respect to the successful realization of the dark energy and of the inflationary era. Particularly, we discuss the general…

广义相对论与量子宇宙学 · 物理学 2019-02-20 S. D. Odintsov , V. K. Oikonomou , S. Banerjee

Here, cosmology of the late and future universe is obtained from $f(R)$-gravity with non-linear curvature terms $R^2$ and $R^3$ ($R$ being the Ricci scalar curvature). It is different from $f(R)$-dark enrgy models, where non-linear…

广义相对论与量子宇宙学 · 物理学 2009-09-17 S. K. Srivastava

Using the fluid representation, we formulate the conditions for the appearance of all four types finite-time future singularity in modified gravity in accelerating FRW universe. It stressed that number of standard quintessence/phantom DE…

高能物理 - 理论 · 物理学 2014-11-20 Shin'ichi Nojiri , Sergei D. Odintsov

This study explores the impact of cosmic curvature on structure formation through general relativistic first-order perturbation theory. We analyze continuity and Euler equations, incorporating cosmic curvature into Einstein equations.…

宇宙学与河外天体物理 · 物理学 2025-05-29 Bikash R. Dinda

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
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