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The $f(R)$ theory of gravity can be expressed as a scalar tensor theory with a scalar degree of freedom $\phi$. By a conformal transformation, the action and its Gibbons-York-Hawking boundary term are written in the Einstein frame and the…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Roger A. Hurtado , Robel Arenas

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

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

Generalized slow roll conditions and parameters are obtained for a general form of scalar-tensor theory (with no external sources), having arbitrary functions describing a nonminimal gravitational coupling F(\phi), a Kahler-like kinetic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. R. Morris

Higgs inflation with a Gauss-Bonnet term is studied in the Einstein frame. Our model features two coupling functions, $\Omega^2(\phi)$ and $\omega(\phi)$, coupled to the Ricci scalar and Gauss-Bonnet combinations. We found a special…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Seoktae Koh , Seong Chan Park , Gansukh Tumurtushaa

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

There has been considerable interest in the community to understand if the Einstein and Jordan frames are either physically equivalent to each other or if there exists a preference frame where interpretations of physical observables should…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Joel Velásquez , Héctor J. Hortua , Leonardo Castañeda

The article addresses the John interaction from Fab Four class of Horndeski models from the effective field theory point of view. Models with this interaction are heavily constrained by gravitational wave speed observations, so it is…

General Relativity and Quantum Cosmology · Physics 2018-12-06 B. Latosh

The viability of slow-roll approximation is examined by considering the structure of phase spaces in scalar-tensor theories of gravitation and the analysis is exemplified with a nonminimally coupled scalar field to the spacetime curvature.…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Kemal Akın , A. Savaş Arapoğlu , A. Emrah Yükselci

In this note we consider the issue of the classical equivalence of scale-invariant gravity in the Einstein and in the Jordan frames. We first consider the simplest example $f(R)=R^{2}$ and show explicitly that the equivalence breaks down…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Massimiliano Rinaldi

In a series of recent papers Kallosh, Linde, and collaborators have provided a unified description of single-field inflation with several types of potentials, ranging from power law to supergravity, in terms of just one parameter $\alpha$.…

High Energy Physics - Theory · Physics 2016-02-03 Massimiliano Rinaldi , Luciano Vanzo , Sergio Zerbini , Giovanni Venturi

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

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

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

The Einstein-Hilbert action (and thus the dynamics of gravity) can be obtained by combining the principle of equivalence, special relativity and quantum theory in the Rindler frame and postulating that the horizon area must be proportional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Padmanabhan

The scalar tensor theory contains a coupling function connecting the quantities in the Jordan and Einstein frames, which is constrained to guarantee a transformation rule between frames. We simulate the supernovae core collapse with…

General Relativity and Quantum Cosmology · Physics 2020-08-28 Chao-Qiang Geng , Hao-Jui Kuan , Ling-Wei Luo

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

We study gravitational interaction of Higgs boson through the unique dimension-4 operator $\xi H^\dag H R$, with $H$ the Higgs doublet and $R$ the Ricci scalar curvature. We analyze the effect of this dimensionless nonminimal coupling $\xi$…

General Relativity and Quantum Cosmology · Physics 2014-06-16 Jing Ren , Zhong-Zhi Xianyu , Hong-Jian He

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 compute the third order gauge invariant action for scalar-graviton interactions in the Jordan frame. We demonstrate that the gauge invariant action for scalar and tensor perturbations on one physical hypersurface only differs from that…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Tomislav Prokopec , Jan Weenink