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We consider cosmological dynamics in the theory of gravity with the scalar field possessing the nonminimal kinetic coupling to curvature given as $\eta G^{\mu\nu}\phi_{,\mu}\phi_{,\nu}$, where $\eta$ is an arbitrary coupling parameter, and…

广义相对论与量子宇宙学 · 物理学 2018-01-24 Jiro Matsumoto , Sergey V. Sushkov

We consider cosmological dynamics in the theory of gravity with the scalar field possessing the nonminimal kinetic coupling to curvature given as $\kappa G^{\mu\nu}\phi_{,\mu}\phi_{,\nu}$, and the Higgs-like potential…

广义相对论与量子宇宙学 · 物理学 2017-09-18 Jiro Matsumoto , Sergey V. Sushkov

In this publication we investigate dynamics of a flat FRW cosmological model with a non-minimally coupled scalar field with the coupling term $\xi R \psi^{2}$ in the scalar field action. The quadratic potential function $V(\psi)\propto…

高能物理 - 理论 · 物理学 2009-05-06 Orest Hrycyna , Marek Szydlowski

We consider a gravitational theory of a scalar field $\phi$ with nonminimal derivative coupling to curvature. The coupling terms have the form $\kappa_1 R\phi_{,\mu}\phi^{,\mu}$ and $\kappa_2 R_{\mu\nu}\phi^{,\mu}\phi^{,\nu}$ where…

广义相对论与量子宇宙学 · 物理学 2010-03-25 Sergey V. Sushkov

NMDC-Palatini cosmology in slow-roll regime is of our interests. We present flat FLRW cosmological NMDC-Palatini field equations and acceleration condition. Late time trajectory is approximated. Chaotic inflation potential is considered…

广义相对论与量子宇宙学 · 物理学 2017-12-27 Somphoach Saichaemchan , Burin Gumjudpai

We consider, in Palatini formalism, a modified gravity of which the scalar field derivative couples to Einstein tensor. In this scenario, Ricci scalar, Ricci tensor and Einstein tensor are functions of connection field. As a result, the…

广义相对论与量子宇宙学 · 物理学 2018-03-20 Narakorn Kaewkhao , Burin Gumjudpai

This paper treats nonrelativistic matter and a scalar field $\phi$ with a monotonically decreasing potential minimally coupled to gravity in flat Friedmann-Lema\^{i}tre-Robertson-Walker cosmology. The field equations are reformulated as a…

广义相对论与量子宇宙学 · 物理学 2015-11-11 Artur Alho , Claes Uggla

In dynamical system describing evolution of universe with the flat Friedmann-Robertson-Walker symmetry filled with barotropic dust matter and non-minimally coupled scalar field with a constant potential function an invariant manifold of the…

宇宙学与河外天体物理 · 物理学 2017-03-08 Orest Hrycyna

A modified gravity theory with $f(R)=R^2$ coupled to a dark energy lagrangian $L=-V(\phi)F(X)$ , $X=\nabla_{\mu}\phi\nabla^{\mu}\phi$, gives plausible cosmological scenarios when the modified Friedman equations are solved subject to the…

宇宙学与河外天体物理 · 物理学 2020-10-30 Debashis Gangopadhyay , Somnath Mukherjee

In this work a new non-minimally coupled model is presented, where a generic function $f(R)$ of the scalar curvature factors the usual Einstein-Hilbert action functional, motivated by relevant results obtained from similar models. Its…

广义相对论与量子宇宙学 · 物理学 2016-11-22 R. P. L. Azevedo , J. Páramos

The nonminimal coupling (NMC) of the scalar field to the Ricci curvature is unavoidable in many cosmological scenarios. Inflation and quintessence models based on nonminimally coupled scalar fields are studied, with particular attention to…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Valerio Faraoni

A scalar--tensor theory of gravity, containing an arbitrary coupling function $F(\phi)$ and a general potential $V(\phi)$, is considered in the context of a spatially flat FLRW model. The use of reparametrization invariance enables a…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Petros A. Terzis , N. Dimakis , T. Christodoulakis

We give a brief review of the non-minimal derivative coupling (NMDC) scalar field theory in which there is non-minimal coupling between the scalar field derivative term and the Einstein tensor. We assume that the expansion is of power-law…

广义相对论与量子宇宙学 · 物理学 2020-01-14 Burin Gumjudpai , Phongsaphat Rangdee

This paper explores cosmological scenarios in a scalar-tensor theory of gravity, including both a non-minimal coupling with scalar curvature of the form $R\phi^2$ and a non-minimal derivative coupling of the form…

广义相对论与量子宇宙学 · 物理学 2025-10-13 Ravil R. Fatykhov , Sergey V. Sushkov

The non-minimal coupling of a scalar field to the Ricci curvature in a curved spacetime is unavoidable according to several authors. The coupling constant is not a free parameter: the prescriptions for the value of the coupling constant in…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Valerio Faraoni

Quantum cosmology is investigated in a de Sitter minisuperspace model with a quantized scalar field non-minimally coupled to curvature. Quantum states of the scalar field must satisfy the regularity condition, which requires that the…

广义相对论与量子宇宙学 · 物理学 2019-08-21 Shao-Jiang Wang , Masaki Yamada , Alexander Vilenkin

An action in which the Ricci scalar is nonminimally coupled with a scalar field and contains higher order curvature invariant terms carries a conserved current under certain conditions that decouples geometric part from the scalar field.…

宇宙学与河外天体物理 · 物理学 2014-11-20 Abhik Kumar Sanyal

In this paper we investigate the accelerating and decelerating cosmological models with non-linear spinor fields and non-minimal interaction of $f(R)$ gravity with a scalar field. We combine two different approaches to the description of…

广义相对论与量子宇宙学 · 物理学 2013-12-12 Yu. A. Rybalov , A. N. Makarenko , K. E. Osetrin

Non-minimal derivative coupling (NMDC) to gravity in flat FLRW universe is investigated in the scenario of holographic dark energy. Kinetic term is coupled to the Einstein tensor under potential $V = (1/2)m^2 \phi^2$. The free kinetic term…

广义相对论与量子宇宙学 · 物理学 2020-09-01 Chonticha Kritpetch , Candrasyah Muhammad , Burin Gumjudpai

In this paper we investigate the long range gravitational effect of curvature-scalar field non-minimal coupling, in the form of $\xi R \phi^2$, in the perturbative quantum gravity framework. Such coupling is most naturally motivated from…

高能物理 - 理论 · 物理学 2026-04-08 Avijit Sen Majumder , Ayan Kumar Naskar , Sourav Bhattacharya
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