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It is well known that the Jordan and Einstein frames are equivalent to each other in classical Brans-Dicke theory, provided that one and the same metric is employed for the physical space-time. Nevertheless, it is shown in this paper by…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Michal Artymowski , Yonnge Ma , Xiangdong Zhang

The Bakry-Emery generalized Ricci tensor arises in scalar-tensor gravitation theories in the conformal gauge known as the Jordan frame. Recent results from the mathematics literature show that standard singularity and splitting theorems…

广义相对论与量子宇宙学 · 物理学 2015-06-15 E Woolgar

We investigate two approaches to non minimally coupled gravity theories which present linear inflation as attractor solution: a) the scalar-tensor theory approach, where we look for a scalar-tensor theory that would restore results of…

宇宙学与河外天体物理 · 物理学 2017-05-03 Michal Artymowski , Antonio Racioppi

A generalized scalar-tensor theory is investigated whose cosmological term depends on both a scalar field and its time derivative. A correspondence with solutions of five-dimensional Space-Time-Matter theory is noted. Analytic solutions are…

广义相对论与量子宇宙学 · 物理学 2009-11-07 T. Fukui , J. M. Overduin

In this study, FRW-cosmologies with some matter groups such as monopole-domain wall, monopole-Chaplygin gas and monopole-strange quark matter in the scalar theory of gravitation based on Lyra geometry are investigated. We expand two exact…

广义相对论与量子宇宙学 · 物理学 2012-09-28 Melis Ulu Dogru , Derya Baykal

In the MacDowell-Mansouri formulation of general relativity, the spin connection and coframe variables are incorporated into a single Lie algebra-valued connection called the MacDowell-Mansouri connection, $\omega$. From the curvature form…

广义相对论与量子宇宙学 · 物理学 2025-08-11 James A. Reid

We reformulate the general theory of relativity in the language of Riemann-Cartan geometry. We start from the assumption that the space-time can be described as a non-Riemannian manifold, which, in addition to the metric field, is endowed…

广义相对论与量子宇宙学 · 物理学 2015-06-12 J. B. Fonseca-Neto , C. Romero , S. P. G. Martinez

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…

广义相对论与量子宇宙学 · 物理学 2025-07-08 Matteo Galaverni , Gabriele Gionti

The general relativistic perturbations of scalar-tensor theories (STT) of gravity are studied in a manifestly gauge invariant Hamiltonian formalism. After the derivation of the Hamiltonian equations of motion in this framework, the gauge…

广义相对论与量子宇宙学 · 物理学 2015-06-08 Yu Han , Kristina Giesel , Yongge Ma

We introduce in the framework of the linear approximation of General relativity a natural distinction between General gauge transformations generated by any vector field and those Special ones for which this vector field is a gradient. This…

广义相对论与量子宇宙学 · 物理学 2007-06-23 Ll. Bel

Scalar and tensor cosmological perturbations during an inflationary universe scenario in the context of the a generalized gravity theory are studied. This analyze is carried out considering an ansatz on the variables associated to scalar…

广义相对论与量子宇宙学 · 物理学 2020-04-22 José Antonio Belinchón , Carlos González , Ramón Herrera

In this article, we examine the possibility that there exist special scalar-tensor theories of gravity with completely nonsingular FRW solutions. Our investigation in fact shows that while most probes living in such a Universe never see the…

高能物理 - 理论 · 物理学 2009-09-15 Nemanja Kaloper , Keith A. Olive

We investigate the behavior of the Ricci scalar in the Jordan (JF) and Einstein (EF) frames, in the context of f(R) gravitation. We discuss the physical equivalence of these two representations of the theory, which are mathematically…

广义相对论与量子宇宙学 · 物理学 2024-08-12 João Pedro Bravo

We study the asymptotic behavior at late times of Friedmann-Robertson-Walker (uniform density) cosmological models within scalar-tensor theories of gravity. Particularly, we analyze the late time behavior in the present (matter dominated)…

广义相对论与量子宇宙学 · 物理学 2011-07-19 David I. Santiago , Dimitri Kalligas , Robert V. Wagoner

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

We show how the scalar field, a candidate of quintessence, in a proposed model of the scalar-tensor theories of gravity provides a way to understand a small but nonzero cosmological constant as indicated by recent observations. A particular…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Yasunori Fujii

Four dimensional scalar-tensor theory is considered within two conformal frames, the Jordan frame (JF) and the Einstein frame (EF). The actions for the theory are equivalent and equations of motion can be obtained from each action. It is…

广义相对论与量子宇宙学 · 物理学 2014-11-06 J. R. Morris

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…

广义相对论与量子宇宙学 · 物理学 2026-03-11 Artur Alho , Margarida Lima , Filipe C. Mena

The aim of the current paper is to study the multiscalar-tensor theories of gravity without derivative couplings. We construct a few basic objects that are invariant under a Weyl rescaling of the metric and transform covariantly when the…

广义相对论与量子宇宙学 · 物理学 2016-01-25 Piret Kuusk , Laur Jarv , Ott Vilson

We search for viable f(R) theories of gravity, making use of the equivalence between such theories and scalar-tensor gravity. We find that models can be made consistent with solar system constraints either by giving the scalar a high mass…

天体物理学 · 物理学 2008-11-26 Thomas Faulkner , Max Tegmark , Emory F. Bunn , Yi Mao