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Related papers: About Jordan and Einstein frames: a study in infla…

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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…

General Relativity and Quantum Cosmology · Physics 2016-10-04 Sachin Pandey , Narayan Banerjee

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Salvatore Capozziello , Ruggiero de Ritis , Alma Angela Marino

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 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

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

We provide the correspondence between the variables in the Jordan frame and those in the Einstein frame in scalar-tensor gravity and consider the frame-(in)dependence of the cosmological observables. In particular, we show that the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Takeshi Chiba , Masahide Yamaguchi

Inflation models based on scalar-tensor theories of gravity are formulated in the Jordan frame but most often analysed in the Einstein frame. The transformation between the frames is not always desirable. In this work we formulate slow-roll…

General Relativity and Quantum Cosmology · Physics 2022-10-28 Mindaugas Karčiauskas , José Jaime Terente Díaz

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

We study the scalar-tensor theory of gravity profoundly in the action level as well as in the thermodynamic level. Contrary to the usual description in the literature about the equivalence in the two conformally connected frames, this paper…

General Relativity and Quantum Cosmology · Physics 2017-05-19 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

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

In recent years, gravitational models motivated by quantum corrections to gravity which introduce higher order terms like $R^{2}$ or terms in which the Riemann tensor is not symmetric have been studied by several authors in the form of a…

General Relativity and Quantum Cosmology · Physics 2023-03-03 R. Gonzalez Quaglia , Gabriel German

We review the conformal equivalence in describing the background expansion of the universe by $f(R)$ gravity both in the Jordan frame and the Einstein frame. In the Jordan frame, we present the general analytic expression for $f(R)$ models…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-14 Jian-hua He , Bin Wang

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

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

It is well known that, in contrast to general relativity, there are two conformally related frames, the Jordan frame and the Einstein frame, in which the Brans-Dicke theory, a prototype of generic scalar-tensor theory, can be formulated.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. Bhadra , K. Sarkar , D. P. Datta , K. K. Nandi

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Laur Jarv , Piret Kuusk , Margus Saal

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

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

This thesis investigates a toy model for inflation in a class of modified theories of gravity in the metric formalism. Instead of the standard procedure -- assuming a non-linear Lagrangian $f(R)$ in the Jordan frame -- we start from a…

General Relativity and Quantum Cosmology · Physics 2020-11-06 C. D. Peralta

We investigate the quantum origin of the primordial cosmological gravitational waves in the Brans-Dicke theory in the two conformally related frames, the Jordan-Brans-Dicke frame and the Einstein frame. We calculated the theoretical…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-18 R. C. Freitas , S. V. B. Gonçalves