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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

We investigate isotropic and homogeneous cosmological scenarios in the scalar-tensor theory of gravity with non-minimal derivative coupling of a scalar field to the curvature given by the term $(\zeta/H_0^2) G^{\mu\nu}\nabla_\mu\phi…

广义相对论与量子宇宙学 · 物理学 2023-06-02 Sergey V. Sushkov , Rafkat Galeev

A scalar-tensor theory of gravity is formulated in which $G$ and particle masses are allowed to vary. The theory yields a globally static cosmological model with no evolutionary timescales, no cosmological coincidences, and no flatness and…

综合物理 · 物理学 2015-10-01 Meir Shimon

The observed accelerated expansion of the Universe at present epoch can be explained by some of the $f(R)$ models without invoking the existence of dark energy or any other such exotic component in cosmic fluid. The $f(R)$ models in…

宇宙学与河外天体物理 · 物理学 2024-05-09 Kumar Ravi

We use the spherical collapse method to investigate the non-linear density perturbations of pressureless matter in the cosmological models with the extended quintessence as dark energy in the metric and Palatini formalisms. We find that for…

广义相对论与量子宇宙学 · 物理学 2015-11-09 Yize Fan , Puxun Wu , Hongwei Yu

Methods of dynamical systems have been used to study homogeneous and isotropic cosmological models with a varying speed of light (VSL). We propose two methods of reduction of dynamics to the form of planar Hamiltonian dynamical systems for…

广义相对论与量子宇宙学 · 物理学 2008-07-22 Marek Szydlowski , Adam Krawiec

We study the $f(R)$ theory of gravity using metric approach. In particular we investigate the recently proposed model by Hu-Sawicki, Appleby $-$ Battye and Starobinsky. In this model, the cosmological constant is zero in flat space time.…

高能物理 - 理论 · 物理学 2009-02-23 Abha Dev , D. Jain , S. Jhingan , S. Nojiri , M. Sami , I. Thongkool

We investigate the cosmological production of gravitational waves in a nonsingular flat cosmology powered by a "running vacuum" energy density described by $\rho_{\Lambda}\equiv\rho_{\Lambda}(H)$, a phenomenological expression potentially…

宇宙学与河外天体物理 · 物理学 2017-03-15 D. A. Tamayo , J. A. S. Lima , M. E. S. Alves , J. C. N. de Araujo

In the paper, we have presented a higher-dimensional cosmological model with a generalized Chaplygin-type gas to explain the recent acceleration of the universe. Dimensional reduction is feasible in this model, and our solutions are…

广义相对论与量子宇宙学 · 物理学 2025-07-01 D. Panigrahi , B. C. Paul , S. Chatterjee

$R^2$-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

The Friedmann paradigm for a dynamical universe emanating from a spacetime singularity is critically reviwed. Quantum effects, playing the essential role at the very early stages, suggests that the universe may follow different course to…

广义相对论与量子宇宙学 · 物理学 2009-07-27 M. B. Altaie

We introduce an exact, two-parameter family of static, spherically-symmetric, constant-curvature $\Lambda$-vacuum solutions within the four-dimensional Starobinsky $f(R)=R+\alpha R^2+2\Lambda$ model. When the bare cosmological constant is…

广义相对论与量子宇宙学 · 物理学 2026-03-03 Andrei Galiautdinov

The Starobinsky model was born in a cosmological scenario where conformally coupled matter quantum field fluctuations on the vacuum drive a non trivial semiclassical energy momentum tensor quadratic in curvature. The presence of an unstable…

高能物理 - 理论 · 物理学 2025-02-20 Roberto Percacci , Gian Paolo Vacca

The evidence of the acceleration of universe at present time has lead to investigate modified theories of gravity and alternative theories of gravity, which are able to explain acceleration from a theoretical viewpoint without the need of…

高能物理 - 理论 · 物理学 2011-05-05 Gianluca Allemandi , Andrzej Borowiec , Mauro Francaviglia

We present a model of non-relativistic gravitational theory which is power-counting renormalizable in 3+1 dimensional spacetime. When applied to cosmology, the relativity-violation terms lead to a dark radiation component, which can give…

高能物理 - 理论 · 物理学 2009-11-13 Yi-Fu Cai , Emmanuel N. Saridakis

The Starobinsky model, considered in the framework of the Palatini formalism, in contrast to the metric formulation, does not provide us with a model for inflation, due to the absence of a propagating scalar degree of freedom that can play…

广义相对论与量子宇宙学 · 物理学 2018-11-28 I. Antoniadis , A. Karam , A. Lykkas , K. Tamvakis

In this work, we study cosmological and astrophysical applications of the recently proposed generalized hybrid metric-Palatini gravity theory, which combines features of both the metric and the Palatini approaches to the variational method…

广义相对论与量子宇宙学 · 物理学 2019-11-20 João Luís Rosa

Nonsingular cosmologies are investigated in the framework of f(R) gravity within the first order formalism. General conditions for bounces in isotropic and homogeneous cosmology are presented. It is shown that only a quadratic curvature…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Tomi S. Koivisto

On the basis of qualitative analysis of the system of differential equations of the standard cosmological model it is shown that in the case of zero cosmological constant this system has a stable center corresponding to zero values of…

广义相对论与量子宇宙学 · 物理学 2016-09-29 Yurii Ignat'ev

Scale transformations of cosmological models based on a statistical system of degenerate fermions with a scalar Higgs interaction are studied. The similarity properties of cosmological models are revealed under the scale transformation of…

广义相对论与量子宇宙学 · 物理学 2024-05-24 Yu. G. Ignat'ev