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In general relativity, the use of conformal transformation is ubiquitous and leads to two different frames of reference, known as the Jordan and the Einstein frames. Typically, the transformation from the Jordan frame to the Einstein frame…

General Relativity and Quantum Cosmology · Physics 2024-01-25 Sumanta Chakraborty , Anupam Mazumdar , Ritapriya Pradhan

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 capability of $f(R)$ gravity models to allow crossing the phantom boundary in both Jordan and Einstein conformal frames. In Einstein frame, these models are equivalent to Einstein gravity together with a scalar field minimally…

General Relativity and Quantum Cosmology · Physics 2012-07-24 Yousef Bisabr

With an explicit example, we show that Jordan frame and the conformally transformed Einstein frames clearly lead to different physics for a non-minimally coupled theory of gravity, namely Brans-Dicke theory, at least at the quantum level.…

General Relativity and Quantum Cosmology · Physics 2016-01-25 Narayan Banerjee , Barun Majumder

We investigate the dynamics of $f(R)$ gravity in Jordan and Einstein frames. First, we perform a phase-space singularities analysis in both frames. We show that, typically, anisotropic singularities are absent in the Einstein frame, whereas…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Saikat Chakraborty , Sanchari Pal , Alberto Saa

The issue of the equivalence between Jordan and Einstein conformal frames in scalar-tensor gravity is revisited, with emphasis on implementing running units in the latter. The lack of affine parametrization for timelike worldlines and the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valerio Faraoni , Shahn Nadeau

Scalar-Tensor theories of gravity can be formulated in different frames, most notably, the Einstein and the Jordan one. While some debate still persists in the literature on the physical status of the different frames, a frame…

Astrophysics · Physics 2008-11-26 R. Catena , M. Pietroni , L. Scarabello

We investigate which Jordan frame $F(R)$ gravity can describe a Type IV singular bouncing cosmological evolution, with special emphasis given near the point at which the Type IV singularity occurs. The cosmological bounce is chosen in such…

General Relativity and Quantum Cosmology · Physics 2015-08-06 S. D. Odintsov , V. K. Oikonomou

The Jordan frame action for general disformal theories is presented and studied for the first time, motivated by several unresolved mysteries that arise when working in the Einstein frame. We present the Friedmann equations and,…

General Relativity and Quantum Cosmology · Physics 2015-12-23 Jeremy Sakstein , Sarunas Verner

We investigate the global dynamics of the field equations of (pure) quadratic theories of gravity which generalise Einstein's theory in spatially flat homogeneous and isotropic cosmological models with a perfect fluid. We introduce global…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Artur Alho , Margarida Lima , Filipe C. Mena

A simple model for a scalar field and gravity admits homogeneous isotropic cosmological solutions which cross the Big Bang singularity. In the scaling frame with field dependent effective Planck mass these solutions are regular. They become…

General Relativity and Quantum Cosmology · Physics 2021-07-27 C. Wetterich

We study the question of whether two frames of a given physical theory are equivalent or not in the presence of quantum corrections. By using field theory arguments we claim that equivalence is broken in the presence of anomalous symmetries…

High Energy Physics - Theory · Physics 2016-06-01 Mario Herrero-Valea

We use the Jordan frame-Einstein frame correspondence to explore dual universes with contrasting cosmological evolutions. We study the mapping between Einstein and Jordan frames where the Einstein frame universe describes the late-time…

General Relativity and Quantum Cosmology · Physics 2024-03-28 Dipayan Mukherjee , H. K. Jassal , Kinjalk Lochan

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

The scalar-tensor theory is plagued by nagging questions if different conformal frames, in particular the Jordan and Einstein conformal frames, are equivalent to each other. As a closely related question, there are opposing views on which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasunori Fujii

A longstanding issue is the classical equivalence between the Jordan and the Einstein frames, which is considered just a field redefinition of the metric tensor and the scalar field. In this work, based on the previous result that the…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Gabriele Gionti S. J. , Matteo Galaverni

We investigate the impact of conformal transformations on the physical properties of solution trajectories in nonmetricity gravity. Specifically, we explore the phase-space and reconstruct the cosmological history of a spatially flat…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Nikolaos Dimakis , Kevin Duffy , Alex Giacomini , Alexander Yu. Kamenshchik , Genly Leon , Andronikos Paliathanasis

We construct a dark energy model where a scalar field non-minimally coupled to gravity plays the role of the dark component. We compare cosmological consequences of this non-minimal coupling of the scalar field and gravity in the spirit of…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Kourosh Nozari , S. Davood Sadatian

The present work shows that the mathematical equivalence of Jordan frame and its conformally transformed version, the Einstein frame, so far as Brans-Dicke theory is concerned, survives a quantization of cosmological models in the theory.…

General Relativity and Quantum Cosmology · Physics 2016-12-13 Sachin Pandey , Sridip Pal , Narayan Banerjee

It is well known that the Jordan and Einstein frames are equivalent to each other in classical Brans-Dicke theory, provided that one and the same metric is employed for the physical space-time. Nevertheless, it is shown in this paper by…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Michal Artymowski , Yonnge Ma , Xiangdong Zhang
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