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We consider the Newtonian limit of modified theories of gravity that include inverse powers of the curvature in the action in order to explain the cosmic acceleration. It has been shown that the simplest models of this kind are in conflict…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

We propose a class of actions for the spacetime metric that introduce corrections to the Einstein-Hilbert Lagrangian depending on the logarithm of some curvature scalars. We show that for some choices of these invariants the models are…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

Motivated by quantum mechanical considerations we earlier suggested an alternative action for discretised quantum gravity which has a dimension of length. It is the so called "linear" action. The proposed action is a "square root" of the…

高能物理 - 理论 · 物理学 2017-05-11 George Savvidy

We discuss some general characteristics of modifications of the 4D Einstein-Hilbert action that become important for low space-time curvatures. In particular we focus on the chameleon-like behaviour of the massive gravitational degrees of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 I. Navarro , K. Van Acoleyen

It was suggested that observations of the solar system exclude massive gravity, in the sense that the graviton mass must be rigorously zero. This is because there is a discontinuity in the linearized gravity theory at graviton mass equal to…

天体物理学 · 物理学 2009-11-07 Andrei Gruzinov

We show that general infrared modifications of the Einstein-Hilbert action obtained by addition of curvature invariants are not viable. These modifications contain either ghosts or light gravity scalars. A very specific fine-tuning might…

高能物理 - 理论 · 物理学 2007-05-23 Alvaro Nunez , Slava Solganik

In this lecture I address the issue of possible large distance modification of gravity and its observational consequences. Although, for the illustrative purposes we focus on a particular simple generally-covariant example, our conclusions…

高能物理 - 理论 · 物理学 2007-05-23 Gia Dvali

The acceleration of the universe can be explained either through dark energy or through the modification of gravity on large scales. In this paper we investigate modified gravity models and compare their observable predictions with dark…

天体物理学 · 物理学 2008-11-26 Edmund Bertschinger , Phillip Zukin

We consider various mechanisms of modifying the effect of intrinsic curvature in gravity with respect to general relativity. Two primary approaches are studied. First, by considering a Lagrange multiplier or an auxiliary field. Second, by…

广义相对论与量子宇宙学 · 物理学 2025-07-08 Ido Ben-Dayan , Elena Emtsova

Modifications to gravity that add additional functions of the Ricci curvature to the Einstein-Hilbert action -- collectively known as $f(R)$ theories -- have been studied in great detail. When considered as complete theories of gravity they…

天体物理学 · 物理学 2009-02-20 Simon DeDeo , Dimitrios Psaltis

We propose an action-based $ f(R) $ modification of Einstein's gravity which admits of a modified Schwarzschild-deSitter metric. In the weak field limit this amounts to adding a small logarithmic correction to the newtonian potential. A…

天体物理学 · 物理学 2009-11-11 Y. Sobouti

We consider the perturbation of the Schwarzschild solution by the perimeter action. The asymptotic behaviour of the solution at infinity and at the horizon are calculated and analysed in the first approximation. The perturbation is…

广义相对论与量子宇宙学 · 物理学 2021-05-19 George Savvidy

We study spherically symmetric solutions in f(R) theories and its compatibility with local tests of gravity. We start by clarifying the range of validity of the weak field expansion and show that for many models proposed to address the Dark…

广义相对论与量子宇宙学 · 物理学 2010-10-27 I. Navarro , K. Van Acoleyen

In a recent work, it has been pointed out that certain observables of the massless scalar field theory in a static spherically symmetric background exhibit a universal behavior at large distances. More precisely, it was shown that, unlike…

高能物理 - 理论 · 物理学 2008-11-26 A. Garbarz , G. Giribet , F. D. Mazzitelli

We consider general curvature-invariant modifications of the Einstein-Hilbert action that become important only in regions of extremely low space-time curvature. We investigate the far future evolution of the universe in such models,…

In this paper we investigate the cosmological effects of modified gravity with string curvature corrections added to Einstein-Hilbert action in the presence of a dynamically evolving scalar field coupled to Riemann invariants. The scenario…

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

A modified theory of gravity with the function $F(R) = R\exp(\alpha R)$ instead of Ricci scalar $R$ in the Einstein$-$Hilbert action is considered and analyzed. The action of the model is converted into Einstein$-$Hilbert action at small…

广义相对论与量子宇宙学 · 物理学 2013-09-30 S. I. Kruglov

Some time ago, it has been suggested that gravitons can acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields [Chamseddine and Mukhanov, JHEP, 2010]. Taking this…

广义相对论与量子宇宙学 · 物理学 2024-09-02 Kimet Jusufi , Ahmed Farag Ali , Abdelrahman Yasser , Nader Inan , A. Y. Ellithi

In the current framework of Einstein's equations in general relativity (GR), gravity is described by the spacetime curvature. However, there are other descriptions where the origin of gravity can be understood through torsion and…

广义相对论与量子宇宙学 · 物理学 2022-12-02 Nakul Aggarwal , Ali Pourmand , Fatimah Shojai , Harish Parthasarathy

Massive gravitational modes in effective field theories can be recovered by extending General Relativity and taking into account generic functions of the curvature invariants, not necessarily linear in the Ricci scalar R. In particular,…

广义相对论与量子宇宙学 · 物理学 2015-01-22 Salvatore Capozziello , Mariafelicia De Laurentis , Mariacristina Paolella , Giulia Ricciardi
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