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Related papers: Brans-Dicke theory: Jordan vs Einstein Frame

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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

We revisit the question of frame equivalence in Quantum Field Theory in the presence of gravity, a situation of relevance for theories aiming to describe the early Universe dynamics and Inflation in particular. We show that in those cases,…

High Energy Physics - Theory · Physics 2019-09-04 Kevin Falls , Mario Herrero-Valea

Two different ways of generalizing Einstein's general theory of relativity with a cosmological constant to Brans-Dicke type scalar-tensor theories are investigated in the linearized field approximation. In the first case a cosmological…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Hatice Özer , Özgür Delice

Motivated by statements in the literature which contradict two general theorems, the static and spherically symmetric Brans solutions of scalar-tensor gravity are analyzed explicitly in both the Jordan and the Einstein conformal frames.…

General Relativity and Quantum Cosmology · Physics 2016-11-15 V. Faraoni , F. Hammad , S. D. Belknap-Keet

In this work, we present a complete analysis of the quantisation of the classical Brans-Dicke Theory using the method of affine quantisation in the Hamiltonian description of the theory. The affine quantisation method is based on the…

General Relativity and Quantum Cosmology · Physics 2019-01-30 E. Frion , C. R. Almeida

The $f(R)$ gravity and scalar-tensor theory are known to be equivalent at the classical level. We study if this equivalence is valid at the quantum level. There are two descriptions of the scalar-tensor theory in the Jordan and Einstein…

High Energy Physics - Theory · Physics 2019-12-06 Nobuyoshi Ohta

The Brans-Dicke Theory of Gravity is one of the most promising alternatives to the Einstein's Theory of General Relativity. We have examined an action term with wrong signs for both the kinetic and mass terms for the scalar field and have…

General Relativity and Quantum Cosmology · Physics 2007-06-22 Metin Arik , Tunc Erkmen

Recently the most general completion of Brans-Dicke theory was appeared with energy exchanged between the scalar field and ordinary matter, given that the equation of motion for the scalar field keeps the simple wave form of Brans-Dicke.…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Georgios Kofinas , Minas Tsoukalas

Different models in cosmology generally predict different Hubble diagrams. Then, the comparison between the Hubble diagrams may be used as a way for distinguishing between different cosmological scenarios. But that is not always the case…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Reza Rashidi

Modified $f(R)$ theories of gravity have been investigated for quite a long time in the literature as a possible explanation for the inflationary period of the universe. The correspondence to General Relativity with an extra scalar field…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Karim H. Seleim , Richa Arya , Sergio E. Jorás

No experiment can measure an absolute scale: every dimensionfull quantity has to be compared to some fixed unit scale in order to be measured, and thus only dimensionless quantities are really physical. The Einstein and Jordan frame are…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-19 Marieke Postma , Marco Volponi

It is shown that in the weak field approximation solutions of Brans-Dicke equations are simply related to the solutions of General Relativity equations for the same matter distribution. A simple method is developed which permits to obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. Barros , C. Romero

A general scalar-tensor theory can be formulated in different parametrizations that are related by a conformal rescaling of the metric and a scalar field redefinition. We compare formulations of slow-roll regimes in the Einstein and Jordan…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Piret Kuusk , Mihkel Rünkla , Margus Saal , Ott Vilson

The {\it exact} formulation for the effect of the Brans-Dicke scalar field on the gravitational corrections to the Sagnac delay in the Jordan and Einstein frames is presented for the first time. The results completely agree with the known…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. K. Nandi , P. M. Alsing , J. C. Evans , T. B. Nayak

Strong field gravitational lensing in the Brans-Dicke theory has been studied. The deflection angle for photons passing very close to the photon sphere is estimated for the static spherically symmetric space-time of the theory and the…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Kabita Sarkar , Arunava Bhadra

The present paper proposes a new explanation for the 3-dimensional Einstein general theory of relativity which is free of contradictions and consistent with usual 4-dimensional physics. We discuss the property of the new gravity theory with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. M. Kozyrev

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 formulate a theory combining the principles of a scalar-tensor gravity and Rastall's proposal of a violation of the usual conservation laws. We obtain a scalar-tensor theory with two parameters $\omega$ and $\lambda$, the latter…

General Relativity and Quantum Cosmology · Physics 2014-11-27 Thiago R. P. Caramês , Mahamadou H. Daouda , Júlio C. Fabris , Adriano M. de Oliveira , Oliver F. Piattella , Vladimir Strokov

We shall show equivalence between Palatini-$f(\calR)$ theories and Brans-Dicke (BD) theories at the level of action principles in generic dimension with generic matter coupling. We do that by introducing the Helmholtz Lagrangian associated…

General Relativity and Quantum Cosmology · Physics 2014-09-29 L. Fatibene , S. Garruto

In this brief note we present a somewhat trivial result. Namely, we show that perturbative off-shell $f(R)$-theory is equivalent to Einstein gravity, as well as to the Brans-Dicke theory and the Einstein scalar field model. We also discuss…

General Relativity and Quantum Cosmology · Physics 2023-09-27 Soham Bhattacharyya