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In order for a modified gravity model to be a candidate for cosmological dark energy it has to pass stringent local gravity experiments. We find that a Brans-Dicke (BD) theory with well-defined second order corrections that include the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Luca Amendola , Christos Charmousis , Stephen C. Davis

Geodesic deviation is the most basic manifestation of the influence of gravitational fields on matter. We investigate geodesic deviation within the framework of Regge calculus, and compare the results with the continuous formulation of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Sukanya Chakrabarti , Adrian P. Gentle , Arkady Kheyfets , Warner A. Miller

According to Lovelock's theorem, the Hilbert-Einstein and the Lovelock actions are indistinguishable from their field equations. However, they have different scalar-tensor counterparts, which correspond to the Brans-Dicke and the…

广义相对论与量子宇宙学 · 物理学 2016-01-25 David Wenjie Tian , Ivan Booth

In the standard Einstein's theory the exterior gravitational field of any static and axially symmetric stellar object can be described by means of a single function from which we obtain a metric into a four-dimensional space-time. In this…

广义相对论与量子宇宙学 · 物理学 2024-02-19 J. L. Hernández-Pastora

Geodesics are used in a wide array of applications in cosmology and astrophysics. However, it is not a trivial task to efficiently calculate exact geodesic distances in an arbitrary spacetime. We show that in spatially flat…

广义相对论与量子宇宙学 · 物理学 2017-11-29 William J. Cunningham , David Rideout , James Halverson , Dmitri Krioukov

A specific choice of gauge is shown to imply a decoupling between the tensor and scalar components of Gravitational Radiation in the context of Brans-Dicke type theories of gravitation. The comparison of the predictions of these theories…

广义相对论与量子宇宙学 · 物理学 2007-08-14 Y. Wiaux

The field equations of the scalar-tensor theories of gravitation are presented in different representations, related to each other by conformal transformations of the metric. One of the representations resembles the Jordan-Brans-Dicke…

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

The generalized Brans-Dicke (abbreviated as GBD) theory is obtained by replacing the Ricci scalar $R$ in the original Brans-Dicke (BD) action with an arbitrary function $f(R)$. Comparing with other theories, some interesting properties have…

广义相对论与量子宇宙学 · 物理学 2019-07-24 Jianbo Lu , Yan Wang , Xin Zhao

We study the Brans-Dicke theory of gravity in Riemann-Cartan space-times, and obtain general torsion solutions, which are completely determined by Brans-Dicke scalar field $\Phi$, in the false vacuum energy dominated epoch. The substitution…

广义相对论与量子宇宙学 · 物理学 2012-12-27 Yu-Huei Wu , Chih-Hung Wang

In this work, we compute the metric corresponding to a static and spherically symmetric mass distribution in the general relativistic weak field approximation to quadratic order in Fermi-normal coordinates surrounding a radial geodesic. To…

广义相对论与量子宇宙学 · 物理学 2023-11-28 Antonio C. Gutiérrez-Piñeres

Linearized equations of motion for gravitational and scalar fields are found and solved in a stabilized brane world model in five-dimensional Brans-Dicke theory. The physical degrees of freedom are isolated, the mass spectrum of…

高能物理 - 理论 · 物理学 2009-11-19 A. S. Mikhailov , Yu. S. Mikhailov , M. N. Smolyakov , I. P. Volobuev

In this work, we develop a q-deformed scalar-tensor theory of gravitation by combining Verlinde's entropic gravity paradigm with statistical deformation effects. The resulting model modifies the Brans-Dicke framework through a deformation…

广义相对论与量子宇宙学 · 物理学 2025-06-04 Salih Kibaroğlu , Mustafa Senay

Given strong local Dirichlet forms and $\mathbb{R}^N$-valued functions on a metrizable space, we introduce the concepts of geodesic distance and intrinsic distance on the basis of these objects. They are defined in a geometric and an…

概率论 · 数学 2014-06-26 Masanori Hino

A symmetry of Brans-Dicke gravity in (electro-)vacuo or in the presence of conformally invariant matter is presented and used as a solution-generating technique starting from a known solution as a seed. This novel technique is applied to…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Valerio Faraoni , Dilek K. Ciftci , Shawn D. Belknap-Keet

Rastall's theory is a generalization of Einstein's equations in which the energy-momentum tensor is not a conserved quantity, its covariant derivative is proportional to the gradient of the Ricci scalar and this fact can be associated with…

广义相对论与量子宇宙学 · 物理学 2015-03-05 A. F. Santos , S. C. Ulhoa

The pure Brans-Dicke (BD) gravity with or without the cosmological constant $\Lambda $ has been taken as a model theory for the dark matter. Indeed, there has been a consensus that unless one modifies either the standard theory of gravity,…

天体物理学 · 物理学 2007-08-21 Hongsu Kim

The gravitational field of a global monopole in the context of Brans-Dicke theory of gravity is investigated. The space-time and the scalar field generated by the monopole are obtained by solving the field equations in the weak field…

广义相对论与量子宇宙学 · 物理学 2011-09-09 A. Barros , C. Romero

Within the framework of geodetic brane gravity, the Universe is described as a 4-dimensional extended object evolving geodetically in a higher dimensional flat background. In this paper, by introducing a new pair of canonical fields…

广义相对论与量子宇宙学 · 物理学 2009-11-07 David Karasik , Aharon Davidson

The geometric properties of General Relativity are reconsidered as a particular nonlinear interaction of fields on a flat background where the perceived geometry and coordinates are "physical" entities that are interpolated by a patchwork…

量子物理 · 物理学 2015-01-20 Clifford E. Chafin

We derive a generalized deviation equation in Riemann-Cartan spacetime. The equation describes the dynamics of the connecting vector which links events on two general adjacent world lines. Our result is valid for any theory in a…

广义相对论与量子宇宙学 · 物理学 2018-06-05 Dirk Puetzfeld , Yuri N. Obukhov