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We discuss the correspondence between metric $f(R)$ gravity and $\omega=0$ Brans-Dicke theory with a potential, by working out an example that reconfirms this equivalence.

General Relativity and Quantum Cosmology · Physics 2016-03-03 J. P. Morais Graça , Valdir B. Bezerra

In this paper first we study Brans-Dicke equations with the cosmological constant to find an exact solution in the spatially flat Robertson-Walker metric. Then we use Observational Hubble data, the baryon acoustic oscillation distance ratio…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Hassan Amirhashchi , Anil Kumar Yadav

The stability criteria for the generalized Brans-Dicke cosmology in a spatially flat, homogeneous and isotropic cosmological model is discussed in the presence of a perfect fluid. The generalization comes through the channel that the…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Nandan Roy , Narayan Banerjee

Within the context of the functional renormalization group flow of gravity, we suggest that a generic f(R) ansatz (i.e. not truncated to any specific form, polynomial or not) for the effective action plays a role analogous to the local…

High Energy Physics - Theory · Physics 2012-10-10 Dario Benedetti , Francesco Caravelli

In the Brans-Dicke model we treat the scalar field exactly and expand the gravitational field in a power series. A comparison with 2D sigma models and \phi^{4} perturbation theory in four dimensions suggests that the perturbation series in…

High Energy Physics - Theory · Physics 2007-05-23 Z. Haba

A generalized Brans-Dicke (GBD) theory is proposed and studied in this paper. The interesting property has been found in the GBD theory, for example it can naturally solve the problem of \gamma value emerging in f(R) modified gravity…

General Relativity and Quantum Cosmology · Physics 2019-07-08 Jianbo Lu , Yabo Wu , Weiqiang Yang , Molin Liu , Xin Zhao

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

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

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

The loop quantization of Brans-Dicke theory (with coupling parameter $\omega\neq-3/2$) is studied. In the geometry-dynamical formalism, the canonical structure and constraint algebra of this theory are similar to those of general relativity…

General Relativity and Quantum Cosmology · Physics 2012-05-18 Xiangdong Zhang , Yongge Ma

We introduce a theoretical framework to alleviate the Hubble tension. This framework is based on dynamics of a minimally coupled scalar field which either belongs to the Brans-Dicke theory with a self-interacting potential or is the scalar…

General Relativity and Quantum Cosmology · Physics 2025-02-27 Y. Bisabr

We consider the application of group invariant transformations in order to constrain a flat isotropic and homogeneous cosmological model, containing of a Brans-Dicke scalar field and a perfect fluid with a constant equation of state…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Andronikos Paliathanasis , Michael Tsamparlis , Spyros Basilakos , John D. Barrow

In this paper we seek for relevant information on the asymptotic cosmological dynamics of the Brans--Dicke theory of gravity for several self-interaction potentials. By means of the simplest tools of the dynamical systems theory, it is…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Ricardo García-Salcedo , Tamé González , Israel Quiros

We investigate the limit of Brans-Dicke spacetimes as the scalar field coupling constant omega tends to infinity applying a coordinate-free technique. We obtain the limits of some known exact solutions. It is shown that these limits may not…

General Relativity and Quantum Cosmology · Physics 2010-11-01 F. M. Paiva , C. Romero

Four dimensional gravity in the low energy limit of a higher dimensional theory has been expected to be a (generalized) Brans-Dicke theory. A subtle point in brane world scenarios is that the system of four dimensional effective…

High Energy Physics - Theory · Physics 2009-11-07 Shinji Mukohyama , Lev Kofman

We consider the Brans-Dicke theory in non-metricity gravity, which belongs to the family of symmetric teleparallel scalar-tensor theories. Our focus lies in exploring the implications of the conformal transformation, as we derive the…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Andronikos Paliathanasis

We analyze the observational constraints on the effective Brans-Dicke parameter and on the temporal variation of the effective gravitational constant within the context of the oscillating G model, a cosmological model based on a massive…

Astrophysics · Physics 2014-10-13 Jose A. Gonzalez , Hernando Quevedo , Marcelo Salgado , Daniel Sudarsky

We study the Brans-Dicke theory of gravity in Riemann-Cartan space-times, and obtain general torsion solutions, which are completely determined by Brans-Dicke scalar field $\Phi$, in the false vacuum energy dominated epoch. The substitution…

General Relativity and Quantum Cosmology · Physics 2012-12-27 Yu-Huei Wu , Chih-Hung Wang

In Brans Dicke theory of gravity, from the nature of the scalar field-potential considered, the dark energy, dark matter, radiation densities predicted by different observations and the closedness of the universe considered, we can fix our…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Ritabrata Biswas , Ujjal Debnath

In unimodular-like theories, the constants of nature are demoted from pre-given parameters to phase space variables. Their canonical duals provide physical time variables. We investigate how this interacts with an alternative approach to…

High Energy Physics - Theory · Physics 2023-12-12 Paolo M Bassani , Joao Magueijo
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