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Scalar tensor theories can be expressed in different frames, such as the commonly-used Einstein and Jordan frames, and it is generally accepted that cosmological observables are the same in these frames. We revisit this by making a detailed…

General Relativity and Quantum Cosmology · Physics 2017-12-20 François Rondeau , Baojiu Li

Four dimensional scalar-tensor theory is considered within two conformal frames, the Jordan frame (JF) and the Einstein frame (EF). The actions for the theory are equivalent and equations of motion can be obtained from each action. It is…

General Relativity and Quantum Cosmology · Physics 2014-11-06 J. R. Morris

In the framework of a general scalar-tensor theory, we investigate the equivalence between two different parametrizations of fields that are commonly used in cosmology - the so-called Jordan frame and Einstein frame. While it is clear that…

General Relativity and Quantum Cosmology · Physics 2015-07-21 Alexander Yu. Kamenshchik , Christian F. Steinwachs

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

We study the relation between the Jordan-Einstein frame transition and the possible description of the crossing of singularities in flat Friedmann universes, using the fact that the regular evolution in one frame can correspond to crossing…

General Relativity and Quantum Cosmology · Physics 2016-09-14 Alexander Yu. Kamenshchik , Ekaterina O. Pozdeeva , Sergey Yu. Vernov , Alessandro Tronconi , Giovanni Venturi

The weak field limit of scalar tensor theories of gravity is discussed in view of conformal transformations. Specifically, we consider how physical quantities, like gravitational potentials derived in the Newtonian approximation for the…

General Relativity and Quantum Cosmology · Physics 2015-02-25 A. Stabile , An. Stabile , S. Capozziello

The physical equivalence of Einstein and Jordan frame in Scalar Tensor theories has been explained by Dicke in 1962: they are related by a local transformation of units. We discuss this point in a cosmological framework. Our main result is…

High Energy Physics - Theory · Physics 2008-11-26 Riccardo Catena , Massimo Pietroni , Luca Scarabello

We study the finite time singularity correspondence between the Jordan and Einstein frames for various $F(R)$ gravity theories. Particularly we investigate the ordinary pure $F(R)$ gravity case and the unimodular $F(R)$ gravity cases, in…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Sebastian Bahamonde , S. D. Odintsov , V. K. Oikonomou , Matthew Wright

We study the Jordan frame formulation of generalizations of scalar-tensor theories conceived by replacing the scalar with other fields such as vectors. The generic theory in this family contains higher order time derivative terms in the…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Fethi M. Ramazanoğlu

Palatini variation of Jordan frame lagrangians gives an equation relating the dilaton to the object of non-metricity and hence the existence of the dilaton implies that the spacetime connection is more general than that given soley by the…

General Relativity and Quantum Cosmology · Physics 2007-06-28 Mark D. Roberts

Spherically symmetric geometrodynamics is studied for scalar-tensor theory and Einstein General Relativity minimally coupled to a scalar field. We discussed the importance of boundary terms and derived the equations of motion in the…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Matteo Galaverni , Gabriele Gionti

We consider issues related to the conformal mapping between the Einstein and Jordan frames in f(R) cosmology. We consider the impact of the conformal transformation on the gauge of a perturbed system and show that unless the system is…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Iain A. Brown , Amir Hammami

We study the thermodynamical aspects of $f(R)$ gravity in the Jordan and the Einstein frame, and we investigate the corresponding equivalence of the thermodynamical quantities in the two frames. We examine static spherically symmetric black…

General Relativity and Quantum Cosmology · Physics 2020-08-19 G. G. L. Nashed , W. El Hanafy , S. D. Odintsov , V. K. Oikonomou

This paper is devoted to the analysis of the covariant canonical formalism of $F(R)$ gravity in Einstein frame. We also find canonical transformation between covariant canonical formulation of F(R) gravity in Jordan frame and Einstein…

General Relativity and Quantum Cosmology · Physics 2023-03-22 J. Kluson , B. Matous

It is demonstrated that, unless the meaning of conformal transformations for the underlying geometrical structure is discussed on a same footing as it is done for the equations of the given gravity theory, the notion of "conformal…

General Relativity and Quantum Cosmology · Physics 2011-08-18 Israel Quiros , Ricardo Garcia-Salcedo , Jose Edgar Madriz Aguilar

We discuss gravitational physics in the Jordan and Einstein frames of $f (R)$ gravity coupled to the Standard Model. We elucidate the way in which the observed gravitational coupling arises in the Einstein frame for generic $f (R)$. We…

General Relativity and Quantum Cosmology · Physics 2022-02-03 Yuri Shtanov

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

The conformal correspondence between FLRW universes in the Einstein and Jordan frames allows for an expansion-collapse duality -- an always expanding Einstein frame universe can have a dual Jordan frame description that is contracting…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Dipayan Mukherjee , Harkirat Singh Sahota

We show how to map gravitational theories formulated in the Jordan frame to the Einstein frame at the quantum field theoretical level considering quantum fields in curved space-time. As an example, we consider gravitational theories in the…

General Relativity and Quantum Cosmology · Physics 2013-05-10 Xavier Calmet , Ting-Cheng Yang

Vacuum Brans-Dicke theory can be self-consistently described in two frames, the Jordan frame (JF) and the conformally rescaled Einstein frame (EF), the transformations providing an easy passage from one frame to the other at the level of…

General Relativity and Quantum Cosmology · Physics 2021-01-13 R. N. Izmailov , R. Kh. Karimov , A. A. Potapov , K. K. Nandi