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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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Valerio Faraoni , Shahn Nadeau

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…

广义相对论与量子宇宙学 · 物理学 2015-07-21 Alexander Yu. Kamenshchik , Christian F. Steinwachs

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yasunori Fujii

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.…

广义相对论与量子宇宙学 · 物理学 2016-12-13 Sachin Pandey , Sridip Pal , Narayan Banerjee

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.…

广义相对论与量子宇宙学 · 物理学 2016-01-25 Narayan Banerjee , Barun Majumder

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…

天体物理学 · 物理学 2008-11-26 R. Catena , M. Pietroni , L. Scarabello

The conformal equivalence between Jordan frame and Einstein frame can be used in order to search for exact solutions in general theories of gravity in which scalar fields are minimally or nonminimally coupled with geometry. In the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Salvatore Capozziello , Ruggiero de Ritis , Alma Angela Marino

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,…

高能物理 - 理论 · 物理学 2019-09-04 Kevin Falls , Mario Herrero-Valea

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…

广义相对论与量子宇宙学 · 物理学 2016-09-14 Alexander Yu. Kamenshchik , Ekaterina O. Pozdeeva , Sergey Yu. Vernov , Alessandro Tronconi , Giovanni Venturi

We show, considering a specific f(R)-gravity model, that the Jordan frame and the Einstein frame are physically non-equivalent, although they are connected by a conformal transformation which yields a mathematical equivalence. Since all the…

广义相对论与量子宇宙学 · 物理学 2010-05-25 S. Capozziello , P. Martin-Moruno , C. Rubano

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…

广义相对论与量子宇宙学 · 物理学 2017-12-20 François Rondeau , Baojiu Li

It is shown that the Jordan frame and its conformally transformed version, the Einstein frame of nonminimally coupled theories of gravity, are actually equivalent at the quantum level. The example of the theory taken up is the Brans-Dicke…

广义相对论与量子宇宙学 · 物理学 2016-10-04 Sachin Pandey , Narayan Banerjee

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…

广义相对论与量子宇宙学 · 物理学 2012-07-24 Yousef Bisabr

Whether Jordan's and Einstein's frame descriptions of F(R) theory of gravity are physically equivalent, is a long standing debate. However, practically none questioned on true mathematical equivalence, since classical field equations may be…

广义相对论与量子宇宙学 · 物理学 2017-08-02 Nayem Sk. , Abhik Kumar Sanyal

An alternative interpretation of the conformal transformations of the metric is discussed according to which the latter can be viewed as a mapping among Riemannian and Weyl-integrable spaces. A novel aspect of the conformal transformation's…

广义相对论与量子宇宙学 · 物理学 2013-01-29 Israel Quiros , Ricardo Garcia-Salcedo , Jose Edgar Madriz Aguilar , Tonatiuh Matos

The issue of the physical equivalence between the Einstein and Jordan conformal frames in Jordan-Brans-Dicke (JBD) theory is revised. Scalar-tensor theories equations are not invariant with respect to conformal transformations if one uses…

综合物理 · 物理学 2012-12-26 Sergey M. Kozyrev , Rinat A. Daishev

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…

广义相对论与量子宇宙学 · 物理学 2024-01-25 Sumanta Chakraborty , Anupam Mazumdar , Ritapriya Pradhan

We will summarize recent results on the Hamiltonian equivalence between the Jordan and Einstein frames based on the analysis of Brans-Dicke theory for both cases \omega\neq -\frac{3}{2} and \omega =-\frac{3}{2}. We will introduce and…

广义相对论与量子宇宙学 · 物理学 2025-05-06 Gabriele Gionti , S. J.

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…

广义相对论与量子宇宙学 · 物理学 2024-02-27 Gabriele Gionti S. J. , Matteo Galaverni

We consider the correspondence between the Jordan frame and the Einstein frame descriptions of scalar-tensor theory of gravitation. We argue that since the redefinition of the scalar field is not differentiable at the limit of general…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Laur Jarv , Piret Kuusk , Margus Saal
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