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A nonminimal coupling single scalar field theory, when transformed from Jordan frame to Einstein frame, can act like a minimal coupling one. Making use of this property, we investigate how a nonminimal coupling theory with scale-invariant…

High Energy Physics - Phenomenology · Physics 2015-06-04 Taotao Qiu

Cosmological analysis of extended Jordan-Brans-Dicke (eJBD) gravity is presented in the Einstein metric frame in which gravitational interaction is readily understandable. Our formulation is the first systematic investigation of how to…

High Energy Physics - Phenomenology · Physics 2023-10-03 Kunio Kaneta , Kin-ya Oda , Motohiko Yoshimura

In the present article we study the cosmological evolution of a two-scalar field gravitational theory defined in the Jordan frame. Specifically, we assume one of the scalar fields to be minimally coupled to gravity, while the second field…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Alex Giacomini , Genly Leon , Andronikos Paliathanasis , Supriya Pan

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

Inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifold M= M_0 x M_1 ...x M_n are investigated under dimensional reduction to a D_0-dimensional effective non-minimally coupled sigma-model which…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. Rainer , A. Zhuk

We report the explicit form of the general static, spherically symmetric, and asymptotically flat solution of vacuum Brans-Dicke gravity in the Jordan frame, assuming that the Brans-Dicke scalar field has no singularities or zeros (except…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Valerio Faraoni , Faycal Hammad , Adriana M. Cardini , Thomas Gobeil

Scalar-tensor theories of gravity are considered to be competitors to Einstein's theory of general relativity for the description of classical gravity, as they are used to build feasible models for cosmic inflation. These theories can be…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Susobhan Mandal

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

In recent years, the use of conformal transformation techniques has become widespread in the literature on gravitational theories alternative to general relativity, on cosmology, and on nonminimally coupled scalar fields. Typically, the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Valerio Faraoni , Edgard Gunzig , Pasquale Nardone

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

We investigate static spherically symmetric solutions in the Palatini kinetically coupled scalar-tensor theory, which reduces to gravity minimally coupled to a scalar field in Einstein frame. Using the fact that the Jordan and Einstein…

General Relativity and Quantum Cosmology · Physics 2021-10-29 D. V. Gal'tsov , D. S. Bushuev

We shall discuss equivalence of frames in Palatini f(R)-theories at action level. A Palatini formulation of Brans-Dicke theories (equivalent to the purely metric ones) will also be discussed.

General Relativity and Quantum Cosmology · Physics 2015-12-31 S. Capozziello , L. Fatibene , S. Garruto

The theory of gravity with a quadratic contribution of scalar curvature is investigated using a dynamical systems approach. The simplest Friedmann--Robertson--Walker metric is employed to formulate the dynamics in both the Jordan frame and…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Orest Hrycyna

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 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

Using geometric approach we formulate quantum theory in terms of Jordan algebras. We analyze the notion of (quasi)particle (=elementary excitation of translation-invariant stationary state) and the scattering of (quasi)particles in this…

High Energy Physics - Theory · Physics 2023-01-26 Albert Schwarz

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

We study the origin of fifth forces in scalar-tensor theories of gravity in the so-called Jordan frame, where the modifications to the gravitational sector are manifest. We focus on theories of Brans-Dicke type in which an additional scalar…

High Energy Physics - Theory · Physics 2024-07-30 Edmund J. Copeland , Peter Millington , Sergio Sevillano Muñoz

The physical properties of static analytic solutions which describe black brane geometries are discussed. In particular we study the similarities and differences of analytic black brane/string solutions in the Einstein and Jordan frames.…

General Relativity and Quantum Cosmology · Physics 2018-09-25 N. Dimakis , Alex Giacomini , Andronikos Paliathanasis

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