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The pure Brans-Dicke (BD) gravity with or without the cosmological constant $\Lambda $ has been taken as a model theory for the dark matter. Indeed, there has been a consensus that unless one modifies either the standard theory of gravity,…

Astrophysics · Physics 2007-08-21 Hongsu Kim

The generalized Brans-Dicke (abbreviated as GBD) theory is obtained by replacing the Ricci scalar $R$ in the original Brans-Dicke (BD) action with an arbitrary function $f(R)$. Comparing with other theories, some interesting properties have…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Jianbo Lu , Yan Wang , Xin Zhao

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

Brans-Dicke (BD) cosmology is reconsidered from an approach in which the model can be formulated in $\Lambda$CDM form, but at the expense of replacing the rigid cosmological constant $\Lambda$ with a dynamical quasivacuum component which…

General Relativity and Quantum Cosmology · Physics 2018-11-29 Javier de Cruz Perez , Joan Sola

In this paper, we study the geodesic deviation equation (GDE) within the context of the Brans-Dicke (BD) theory in $D$ dimensions. Then, we restrict our attention to the GDE for the fundamental observers and null vector field past directed.…

General Relativity and Quantum Cosmology · Physics 2021-04-01 S. M. M. Rasouli , F. Shojai

We suggest the modified gravity where some arbitrary function of Gauss-Bonnet (GB) term is added to Einstein action as gravitational dark energy. It is shown that such theory may pass solar system tests. It is demonstrated that modified GB…

High Energy Physics - Theory · Physics 2010-04-06 Shin'ichi Nojiri , Sergei D. Odintsov

Brans-Dicke (BD), one of the first proposed scalar-tensor theories of gravity, effectively makes the gravitational constant of general relativity (GR) time-dependent. Constraints on the BD parameter $\omega$ serve as a benchmark for testing…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-04 Herman Sletmoen , Hans A. Winther

The Jordan-Brans-Dicke theory of gravitation, which promotes the gravitational constant to a dynamical scalar field, predicts a value for the Eddington-Robertson post-Newtonian parameter gamma that is significantly different from the…

General Relativity and Quantum Cosmology · Physics 2012-12-12 John W. Moffat , Viktor T. Toth

As an important candidate theory of gravity, Brans-Dicke theory has been widely studied. In this paper, we investigate light bending and gravitational lensing by compact objects in Brans-Dicke theory in weak gravitational field. Firstly, we…

General Relativity and Quantum Cosmology · Physics 2019-06-25 Xiaojun Gao , Shupeng Song , Jinsong Yang

The Brans-Dicke (BD) theory is the simplest Scalar-Tensor theory of gravity, which can be considered as a candidate of modified Einstein's theory of general relativity. In this work, we forecast the constraints on BD theory in the CSST…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-18 Anda Chen , Yan Gong , Fengquan Wu , Yougang Wang , Xuelei Chen

We analyze the Jordan-Brans-Dicke model (JBD) of gravity, where deviations from General Relativity (GR) are described by a scalar field non-minimally coupled to gravity. The theory is characterized by a constant coupling parameter,…

Astrophysics · Physics 2009-01-14 Viviana Acquaviva , Licia Verde

In Brans-Dicke theory a non-linear self interaction of a scalar field allows a possibility of realizing the late-time cosmic acceleration, while recovering the General Relativistic behavior at early cosmological epochs. We extend this to…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-12 Antonio De Felice , Shinji Tsujikawa

We investigate the possibility to recover a four-dimensional (4D) general theory of relativity, as embedded in a 5D spacetime where gravity is governed by a five-dimensional (5D) Brans-Dicke (BD) theory of gravity. Employing the…

General Relativity and Quantum Cosmology · Physics 2009-03-02 L. M. Reyes , Jose Edgar Madriz Aguilar

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity where an arbitrary function of the GB invariant, $f(G)$, is added to the General Relativity action. We show that such theory is endowed with a quite rich…

High Energy Physics - Theory · Physics 2008-11-26 Guido Cognola , Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov , Sergio Zerbini

We report strong cosmological constraints on the Brans-Dicke (BD) theory of gravity using Cosmic Microwave Background data from Planck.We consider two types of models. First, the initial condition of the scalar field is fixed to give the…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-09 A. Avilez , C. Skordis

We resurrect Eddington's proposal for the gravitational action in the presence of a cosmological constant and extend it to include matter fields. We show that the Newton-Poisson equation is modified in the presence of sources and that…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-04 Maximo Banados , Pedro G. Ferreira

The extended Jordan-Brans-Dicke (eJBD) theory of gravity is constrained by a host of astrophysical and cosmological observations spanning a wide range of scales. The current cosmological constraints on the first post-Newtonian parameter in…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-11 Mario Ballardini , Domenico Sapone , Caterina Umiltà , Fabio Finelli , Daniela Paoletti

We consider the ADM formalism of the Brans-Dicke theory and propose an anisotropic extension of the theory by introducing five free parameters. We find that the resulting theory reveals many interesting aspects which are not present in the…

High Energy Physics - Theory · Physics 2015-06-15 Taeyoon Moon , Phillial Oh

We consider a modified Brans-Dicke theory in which except the usual Brans-Dicke parameter a new dimensionful parameter appears which modifies the kinetic term of the scalar field coupled to gravity. Solving the coupled Einstein-Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Eleftherios Papantonopoulos , Christoforos Vlachos

We show that a class of bi-gravity theories contain solutions describing dark matter. A particular member of this class is also shown to be equivalent to the Eddington-Born-Infeld gravity, recently proposed as a candidate for dark matter.…

General Relativity and Quantum Cosmology · Physics 2009-04-02 Máximo Bañados , Andrés Gomberoff , Davi C. Rodrigues , Constantinos Skordis
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