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The recent interest in modified theories of gravity, involving some type of non-minimal coupling to the Ricci scalar, and the calculation of cosmological observables in the Einstein or the Jordan frame, motivate the formulation of these…

广义相对论与量子宇宙学 · 物理学 2018-06-20 Alexandros Karam , Angelos Lykkas , Kyriakos Tamvakis

We consider first generation scalar-tensor theories of gravitation in a completely generic form, keeping the transformation functions of the local rescaling of the metric and the scalar field redefinition explicitly distinct from the…

广义相对论与量子宇宙学 · 物理学 2015-11-16 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

The conformal equivalence of some cosmological models in Brans-Dicke theory to general relativistic cosmologies with a scalar field is discussed. In the case of radiation-dominated universes, it is shown that the presence of the scalar…

广义相对论与量子宇宙学 · 物理学 2009-09-25 S. Kolitch , B. Hall

To explain the recently reported large-scale spatial variations of the fine structure constant $\alpha$, we apply some models of curvature-nonlinear multidimensional gravity. Under the reasonable assumption of slow changes of all quantities…

广义相对论与量子宇宙学 · 物理学 2013-12-31 K. A. Bronnikov , M. V. Skvortsova

Birkhoff's theorem is discussed in the frame of f(R) gravity by using its scalar-tensor representation. Modified gravity has become very popular at recent times as it is able to reproduce the unification of inflation and late-time…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Salvatore Capozziello , Diego Sáez-Gómez

We discuss some of the issues which we encounter when we try to invoke the scalar-tensor theories of gravitation as a theoretical basis of quintessence. One of the advantages of appealing to these theories is that they allow us to implement…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Yasunori Fujii

We revisit the thermodynamic description of fluid, represented by scalar field in scalar-tensor gravity theory through a general approach to study the thermodynamics of relativistic fluids. In order to identify the fluid energy-momentum…

广义相对论与量子宇宙学 · 物理学 2023-05-16 Abhinove Nagarajan Seenivasan , Sayan Chakrabarti , Bibhas Ranjan Majhi

We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

广义相对论与量子宇宙学 · 物理学 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

The linear approximation of scalar-tensor theories of gravity is obtained in the physical (Jordan) frame under the 4+0 (covariant) and 3+1 formalisms. Then the weak-field limit is analyzed and the conditions leading to significant…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Marcelo Salgado

The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of…

广义相对论与量子宇宙学 · 物理学 2024-06-21 Hitender Kumar , Tanmoy Paul , Soumitra SenGupta

We study the dynamical description of gravity, the appropriate definition of the scalar field energy-momentum tensor, and the interrelation between them in scalar-tensor theories of gravity. We show that the quantity which one would naively…

广义相对论与量子宇宙学 · 物理学 2015-06-25 David I. Santiago , Alexander S. Silbergleit

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…

广义相对论与量子宇宙学 · 物理学 2013-05-10 Xavier Calmet , Ting-Cheng Yang

The debate on the physical relevance of conformal transformations can be faced by taking the Palatini approach into account to gravitational theories. We show that conformal transformations are not only a mathematical tool to disentangle…

高能物理 - 理论 · 物理学 2009-11-10 Gianluca Allemandi , Monica Capone , Salvatore Capozziello , Mauro Francaviglia

We investigate the cosmological background evolution and perturbations in a general class of spatially covariant theories of gravity, which propagates two tensor modes and one scalar mode. We show that the structure of the theory is…

广义相对论与量子宇宙学 · 物理学 2016-02-09 Tomohiro Fujita , Xian Gao , Jun'ichi Yokoyama

Disformal theories of gravity are scalar-tensor theories where the scalar couples derivatively to matter via the Jordan frame metric. These models have recently attracted interest in the cosmological context since they admit accelerating…

广义相对论与量子宇宙学 · 物理学 2015-11-04 Hiu Yan Ip , Jeremy Sakstein , Fabian Schmidt

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…

宇宙学与河外天体物理 · 物理学 2012-03-14 Jian-hua He , Bin Wang

The holographic bound has been extended to the different theory of gravities such as scalar-tensor gravity and $f(R)$ gravity according to the Noether charge definition of the entropy for a black hole surface. We have introduced some…

广义相对论与量子宇宙学 · 物理学 2015-06-12 J. T. Firouzjaee

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…

广义相对论与量子宇宙学 · 物理学 2023-12-22 Karim H. Seleim , Richa Arya , Sergio E. Jorás

In any diffeomorphism invariant theory of gravity, one can define a Noether charge arising from the invariance of the Lagrangian under diffeomorphisms. We have determined the Noether charge for scalar-tensor theories of gravity, in which…

广义相对论与量子宇宙学 · 物理学 2025-02-19 Krishnakanta Bhattacharya , Sumanta Chakraborty

Scalar-tensor (ST) gravity is considered in the case where the scalar is an external field. We show that General Relativity (GR) and usual ST gravity are particular cases of the External Scalar-Tensor (EST) gravity. It is shown with a…

广义相对论与量子宇宙学 · 物理学 2016-06-08 Bertrand Chauvineau , Davi C. Rodrigues , Júlio C. Fabris