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We study the evolution of homogeneous and isotropic, flat cosmological models within the general scalar-tensor theory of gravity with arbitrary coupling function and potential and scrutinize its limit to general relativity. Using the…

广义相对论与量子宇宙学 · 物理学 2009-04-24 Piret Kuusk , Laur Jarv , Margus Saal

That preferred-frame theory accounts for special relativity and reduces to it if the gravitation field cancels. Starting from an interpretation of gravity as a pressure force, it is based on just one scalar field. This scalar gives the…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Mayeul Arminjon

Recently Flanagan [astro-ph/0308111] has argued that the Palatini form of 1/R gravity is ruled out by experiments such as electron-electron scattering. His argument involves adding minimally coupled fermions in the Jordan frame and…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dan N. Vollick

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory of gravity (generalized HMPG) suggested by B\"ohmer and Tamanini, involving both a metric $g_{\mu\nu}$ and an…

广义相对论与量子宇宙学 · 物理学 2023-11-14 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

We reconstruct an explicit model of modified gravity in which a crossing of the phantom divide can be realized. It is shown that the (finite-time) Big Rip singularity appears in the model of modified gravity (i.e., in the so-called Jordan…

高能物理 - 理论 · 物理学 2013-05-29 Kazuharu Bamba , Chao-Qiang Geng , Shin'ichi Nojiri , Sergei D. Odintsov

In the framework of ordinary-derivative approach, conformal gravity in space-time of dimension six is studied. The field content, in addition to conformal graviton field, includes two auxiliary rank-2 symmetric tensor fields, two…

高能物理 - 理论 · 物理学 2015-05-20 R. R. Metsaev

An alternative interpretation of the conformal transformations of the metric is discussed according to which the latter can be viewed as a mapping among Riemannian and Weyl-integrable spaces. A novel aspect of the conformal transformation's…

广义相对论与量子宇宙学 · 物理学 2013-01-29 Israel Quiros , Ricardo Garcia-Salcedo , Jose Edgar Madriz Aguilar , Tonatiuh Matos

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

We analyze black hole thermodynamics in a generalized theory of gravity whose Lagrangian is an arbitrary function of the metric, the Ricci tensor and a scalar field. We can convert the theory into the Einstein frame via a "Legendre"…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jun-ichirou Koga , Kei-ichi Maeda

When Einstein's equations for an asymptotically flat, vacuum spacetime are reexpressed in terms of an appropriate conformal metric that is regular at (future) null infinity, they develop apparently singular terms in the associated conformal…

广义相对论与量子宇宙学 · 物理学 2009-06-01 Vincent Moncrief , Oliver Rinne

We consider homogeneous and isotropic cosmological models in the framework of three geometrical theories of gravitation: in the Einstein general relativity they are given in terms of the curvature of the Levi-Civita connection in torsion…

广义相对论与量子宇宙学 · 物理学 2023-12-20 Laur Järv , Piret Kuusk

Based on the observation that the dimension of the tangent space is not necessarily equal to the dimension of the corresponding curved manifold and on the known fact that gravitational theories can be formulated in a gauge theoretic way, we…

高能物理 - 理论 · 物理学 2024-03-27 Danai Roumelioti , Stelios Stefas , George Zoupanos

The Einstein-Cartan theory of gravitation and the classical theory of defects in an elastic medium are presented and compared. The former is an extension of general relativity and refers to four-dimensional space-time, while we introduce…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Matteo Luca Ruggiero , Angelo Tartaglia

We analyze junction conditions at a null or non-null hypersurface $\Sigma$ in a large class of scalar-tensor theories in arbitrary $n(\ge 3)$ dimensions. After showing that the metric and a scalar field must be continuous at $\Sigma$ as the…

广义相对论与量子宇宙学 · 物理学 2020-04-08 Luis Avilés , Hideki Maeda , Cristian Martinez

We propose a new model of modified $F(R)$ gravity theory with the function $F(R) = (1/\beta) \arcsin(\beta R)$. Constant curvature solutions corresponding to the flat and de Sitter spacetime are obtained. The Jordan and Einstein frames are…

综合物理 · 物理学 2015-07-24 S. I. Kruglov

A class of theories of gravitation that naturally incorporates preferred frames of reference is presented. The underlying space-time geometry consists of a partial parallelization of space-time and has properties of Riemann-Cartan as well…

广义相对论与量子宇宙学 · 物理学 2015-06-25 C. Kohler

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

The "Universality Theorem" for gravity shows that f(R) theories (in their metric-affine formulation) in vacuum are dynamically equivalent to vacuum Einstein equations with suitable cosmological constants. This holds true for a generic (i.e.…

广义相对论与量子宇宙学 · 物理学 2014-11-20 L. Fatibene , M. Ferraris , M. Francaviglia

The duality of gravitational dynamics (projected on a null hypersurface) and of fluid dynamics is investigated for the scalar tensor (ST) theory of gravity. The description of ST gravity, in both Einstein and Jordan frames, is analyzed from…

高能物理 - 理论 · 物理学 2020-07-07 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi , Douglas Singleton

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

偏微分方程分析 · 数学 2014-12-30 Philippe G. LeFloch , Yue Ma