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The dynamical equivalence between modified and scalar-tensor gravity theories is revisited and it is concluded that it breaks down in the limit to general relativity. A gauge-independent analysis of cosmological perturbations in both…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Valerio Faraoni

In this communication, the current tests of gravitation available at Solar System scales are recalled. These tests rely mainly on two frameworks: the PPN framework and the search for a fifth force. Some motivations are given to look for…

General Relativity and Quantum Cosmology · Physics 2014-03-07 A. Hees , W. M. Folkner , R. A. Jacobson , R. S. Park , B. Lamine , C. Le Poncin-Lafitte , P. Wolf

Contrary to common belief, (electro)vacuum Brans-Dicke gravity does not reduce to general relativity for large Brans-Dicke coupling $\omega$, a problem which has never been fully solved. Two new approaches, independent from each other, shed…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Valerio Faraoni , Jeremy Côté

The Brans-Dicke theory of gravity is one of the oldest ideas to extend general relativity by introducing a non-minimal coupling between the scalar field and gravity. The Solar System tests put tight constraints on the theory. In order to…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Kazuya Koyama

Brans-Dicke gravity does not always reduce to General Relativity in the limit $\omega\to\infty$ for the coupling constant. This anomalous behavior is examined within the formalism of the first-order thermodynamics of scalar-tensor gravity.…

General Relativity and Quantum Cosmology · Physics 2025-08-04 L. Gallerani , A. Giusti , A. Mentrelli , V. Faraoni

The recent discovery of "dark energy" has challenged Einstein's general theory of relativity as a complete model for our macroscopic universe. From a theoretical view, the challenge is even stronger: general relativity clearly does not…

We point out that extended gravity theories, the Lagrangian of which is an arbitrary function of scalar curvature $R$, are equivalent to a class of the scalar tensor theories of gravity. The corresponding gravity theory is $\omega=0$…

Astrophysics · Physics 2009-07-09 Takeshi Chiba

Solar-System constraints on a general scalar-tensor theory with generic non-minimal coupling function, non-canonical kinetic function, and scalar potential, are investigated in both the metric and Palatini formalisms. A unified…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Alexandros Karam , Samuel Sánchez López , José Jaime Terente Díaz

Based on the {\it dynamical} equivalence between higher order gravity and scalar-tensor gravity the PPN-limit of fourth order gravity is discussed. We exploit this analogy developing a fourth order gravity version of the Eddington…

Astrophysics · Physics 2008-11-26 S. Capozziello , A. Troisi

We consider a generalized Brans-Dicke model in which the scalar field has a potential function and is also allowed to couple non-minimally with the matter sector. This anomalous gravitational coupling can in principle avoid the model to…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Yousef Bisabr

In scalar-tensor theories of gravity, the equation of state of dark energy, w, can become smaller than -1 without violating any energy condition. The value of w today is tied to the level of deviations from general relativity which, in…

Astrophysics · Physics 2009-11-13 Jerome Martin , Carlo Schimd , Jean-Philippe Uzan

The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

The notions of mass and range of a Brans-Dicke-like scalar field in scalar-tensor and f(R) gravity are subject to an ambiguity that hides a potential trap. We spell out this ambiguity and identify a physically meaningful and practical…

General Relativity and Quantum Cosmology · Physics 2009-09-09 Valerio Faraoni

It has been proposed that cosmic acceleration or inflation can be driven by replacing the Einstein-Hilbert action of general relativity with a function f(R) of the Ricci scalar R. Such f(R) gravity theories have been shown to be equivalent…

Astrophysics · Physics 2008-11-26 Takeshi Chiba , Tristan L. Smith , Adrienne L. Erickcek

Scalar-tensor theories of gravity modify General Relativity by introducing a scalar field that couples non-minimally to the metric tensor, while satisfying the weak-equivalence principle. These theories are interesting because they have the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 David Anderson , Nicolas Yunes

Contrary to common belief, the standard tenet of Brans-Dicke theory reducing to general relativity when omega tends to infinity is false if the trace of the matter energy-momentum tensor vanishes. The issue is clarified in a new approach…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Valerio Faraoni

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to Einstein tensor. We constrain the value of the derivative parameter $z$ through solar system tests.…

General Relativity and Quantum Cosmology · Physics 2020-12-02 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

Recent theoretical works on alternative metric theories of gravity give greater significance to solar-system tests of General Relativity. In particular, it is suggested that the post-Newtonian parameter $\gamma$ ought to be determined with…

Astrophysics · Physics 2009-09-25 Giacomo Giampieri

PPN-limit of higher order theories of gravity represents a still controversial matter of debate and no definitive answer has been provided, up to now, about this issue. By exploiting the analogy between scalar-tensor and fourth-order…

General Relativity and Quantum Cosmology · Physics 2016-08-31 S. Capozziello , A. Stabile , A. Troisi

We consider higher-dimensional massive Brans-Dicke theory with Ricci-flat internal space. The background model is perturbed by a massive gravitating source which is pressureless in the external (our space) but has an arbitrary…

General Relativity and Quantum Cosmology · Physics 2020-01-03 Ozgur Akarsu , Alexey Chopovsky , Valerii Shulga , Ezgi Yalcinkaya , Alexander Zhuk
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