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We determine the full post-Newtonian limit of theories of gravity that extend general relativity by replacing the Ricci scalar, R, in the generating Lagrangian by some analytic function, f(R). We restrict ourselves to theories that admit…

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

A general analytic procedure is developed for the post-Newtonian limit of $f(R)$-gravity with metric approach in the Jordan frame by using the harmonic gauge condition. In a pure perturbative framework and by using the Green function method…

广义相对论与量子宇宙学 · 物理学 2014-11-20 A. Stabile

We discuss Newtonian and the post-Newtonian limits of Fourth Order Gravity Theories pointing out, in details, their resemblances and differences with respect to General Relativity. Particular emphasis is placed on the exact solutions and…

广义相对论与量子宇宙学 · 物理学 2010-09-20 Salvatore Capozziello , Arturo Stabile

In this article we calculate the post-Newtonian limit of a general class of scalar-nonmetricity theories of gravity. The action is assumed to be a free function of the nonmetricity scalar, the kinetic term of the scalar field, two…

广义相对论与量子宇宙学 · 物理学 2022-03-02 Kai Flathmann , Manuel Hohmann

A general analytic procedure is developed to deal with the Newtonian limit of $f(R)$ gravity. A discussion comparing the Newtonian and the post-Newtonian limit of these models is proposed in order to point out the differences between the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. Capozziello , A. Stabile , A. Troisi

We compute the complete post-Newtonian limit of the metric form of f(R) gravities using a scalar-tensor representation. By comparing the predictions of these theories with laboratory and solar system experiments, we find a set of…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Gonzalo J. Olmo

We compute the complete post-Newtonian limit of the Palatini form of f(R) gravities using a scalar-tensor representation. By comparing the predictions of these theories with laboratory and solar system experiments, we find a set of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Gonzalo J. Olmo

Alternative theories of gravity have been recently studied in connection with their cosmological applications, both in the Palatini and in the metric formalism. The aim of this paper is to propose a theoretical framework (in the Palatini…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gianluca Allemandi , Mauro Francaviglia , Matteo Luca Ruggiero , Angelo Tartaglia

Using the latest most accurate values of post-Newtonian parameters $\gamma$ and $\beta$ obtained by MESSENGER we impose restrictions on the recently proposed hybrid f(R)-gravity model in its scalar-tensor representation. We show that the…

广义相对论与量子宇宙学 · 物理学 2019-10-08 P. I. Dyadina , S. P. Labazova , S. O. Alexeyev

In this article we derive the post-Newtonian limit of a class of teleparallel theories of gravity, where the action is a free function $L(T,X,Y,\phi)$ of the Torsion scalar $T$ and scalar quantities $X$ and $Y$ built from the dynamical…

广义相对论与量子宇宙学 · 物理学 2020-01-27 Kai Flathmann , Manuel Hohmann

We derive the post-Newtonian limit of a general class of teleparallel gravity theories, whose action is given by a free function of three scalar quantities obtained from the torsion of the teleparallel connection. This class of theories is…

广义相对论与量子宇宙学 · 物理学 2020-01-24 Ulbossyn Ualikhanova , Manuel Hohmann

We show that any analytic $f(R)$-gravity model, in the metric approach, presents a weak field limit where the standard Newtonian potential is corrected by a Yukawa-like term. This general result has never been pointed out but often derived…

广义相对论与量子宇宙学 · 物理学 2009-04-21 S. Capozziello , A. Stabile , A. Troisi

The Newtonian limit of fourth-order gravity is worked out discussing its viability with respect to the standard results of General Relativity. We investigate the limit in the metric approach which, with respect to the Palatini formulation,…

广义相对论与量子宇宙学 · 物理学 2009-11-13 S. Capozziello , A. Stabile

We consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. We obtain the gravitational field equations in the…

广义相对论与量子宇宙学 · 物理学 2011-07-14 Tiberiu Harko , Francisco S. N. Lobo , Shin'ichi Nojiri , Sergei D. Odintsov

C-theory provides a unified framework to study metric, metric-affine and more general theories of gravity. In the vacuum weak-field limit of these theories, the parameterized post-Newtonian (PPN) parameters $\beta$ and $\gamma$ can differ…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Tomi S. Koivisto

We generalize and unify the $f(R,T)$ and $f(R,L_m)$ type gravity models by assuming that the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar $R$, of the trace of the energy-momentum tensor $T$, and of the…

广义相对论与量子宇宙学 · 物理学 2021-07-28 Zahra Haghani , Tiberiu Harko

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Jie Zhu , Hao Li

A generally covariant extension of general relativity (GR) in which a dynamical unit timelike vector field is coupled to the metric is studied in the asymptotic weak field limit of spherically symmetric static solutions. The two…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Christopher Eling , Ted Jacobson

We consider corrections to the Einstein-Hilbert action which contain both higher order and nonlocal terms. We derive an effective Newtonian gravitational constant applicable at the weak field limit and use the primordial nucleosynthesis…

宇宙学与河外天体物理 · 物理学 2009-06-09 Savvas Nesseris , Anupam Mazumdar

We investigate Einstein theories of gravity, coupled to a scalar field \vphi and point-like matter, which are characterized by a scalar field-dependent matter coupling function e^{H(\vphi)}. We show that under mild constraints on the form…

广义相对论与量子宇宙学 · 物理学 2014-11-18 M. Cadoni , M. Casula
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