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In this brief review we discuss the viability of a multidimensional geometrical theory with one compactified dimension. We discuss the case of a Kaluza Klein fifth dimensional theory, addressing the problem by an overview of the…

广义相对论与量子宇宙学 · 物理学 2013-05-29 D. Pugliese , G. Montani

A new 5-dimensional Classical Unified Field Theory of Kaluza-Klein type is formulated using 2 separate scalar fields which are related in such a way as to make the 5-dimensional matter-geometry coupling parameter constant. It is shown that…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Paulo G. Macedo

The group of coordinate transformations for 5D noncompact Kaluza-Klein theory is broader than the 4D group for Einstein's general relativity. Therefore, a 4D quantity can take on different forms depending on the choice for the 5D…

广义相对论与量子宇宙学 · 物理学 2009-05-04 Paul S. Wesson

We develop a linearized five dimensional Kaluza-Klein theory as a gauge theory. By perturbing the metric around flat and the De Sitter backgrounds, we first discuss linearized gravity as a gauge theory in any dimension. In the particular…

高能物理 - 理论 · 物理学 2008-12-18 G. Atondo-Rubio , J. A. Nieto , L. Ruiz , J. Silvas

Using the language of differential forms, the Kaluza-Klein theory in 4+1 dimensions is derived. This theory unifies electromagnetic and gravitational interactions in four dimensions when the extra space dimension is compactified. Without…

高能物理 - 唯象学 · 物理学 2007-05-23 Ingunn Kathrine Wehus , Finn Ravndal

As an extension of previous works on classical tests of Kaluza-Klein (KK) gravity and as an attempt to find more stringent constraints on this theory, its effects on physical experiments and astronomical observations conducted in the Solar…

广义相对论与量子宇宙学 · 物理学 2015-11-24 Xue-Mei Deng , Yi Xie

The Einstein field equations can be derived in $n$ dimensions ($n>2$) by the variations of the Palatini action. The Killing reduction of 5-dimensional Palatini action is studied on the assumption that pentads and Lorentz connections are…

广义相对论与量子宇宙学 · 物理学 2009-11-11 You Ding , Yongge Ma , Muxin Han , Jianbing Shao

We illustrate the main features of a new Kaluza-Klein-like scheme (Deformed Relativity in five dimensions). It is based on a five-dimensional Riemannian space in which the four-dimensional space-time metric is deformed (i.e. it depends on…

高能物理 - 理论 · 物理学 2025-02-06 Fabio Cardone , Alessio Marrani , Roberto Mignani

The connection dynamics of the 5-dimensional Kaluza-Klein theory reduced on 4-dimensional spacetime is obtained by performing the Hamiltonian analysis and canonical transformations. Deparametrization is achieved in the spherically symmetric…

广义相对论与量子宇宙学 · 物理学 2023-02-15 Haida Li , Shengzhi Li , Yongge Ma

In Kaluza-Klein model with toroidal extra dimensions, we obtain the metric coefficients in a weak-field approximation for delta-shaped matter sources. These metric coefficients are applied to calculate the formulas for frequency shift,…

广义相对论与量子宇宙学 · 物理学 2010-10-29 Maxim Eingorn , Alexander Zhuk

Efforts have been made recently to reformulate traditional Kaluza-Klein theory by using a generalized definition of a higher-dimensional extended space-time. Both electromagnetism and gravity have been studied in this context. We review…

高能物理 - 理论 · 物理学 2007-05-23 J. Madore , J. Mourad

We discuss the post-Newtonian limit of multimetric gravity theories with $N \geq 2$ metric tensors and a corresponding number of standard model copies, and construct an extension of the parameterized post-Newtonian (PPN) formalism. This…

广义相对论与量子宇宙学 · 物理学 2014-06-17 Manuel Hohmann

In this article we present a possibility of imposing the unimodular condition within the 5-dimensional Kaluza-Klein theory including the scalar field. Unimodular gravity became an object of increasing interest in the late 80-ties; and was…

广义相对论与量子宇宙学 · 物理学 2025-09-30 Júlio C. Fabris , Richard Kerner

We performed a post-Newtonian analysis of the regularized four-dimensional Einstein-Gauss-Bonnet gravitational theory (4D-EGB). The resulting metric differs from the classical parametrized post-Newtonian (PPN) formalism in that a new…

广义相对论与量子宇宙学 · 物理学 2024-06-25 Júnior D. Toniato , Martín G. Richarte

Lee. et.al. (1976) analysed the bimetric theory with the help of parameterized post Newtonian (PPN) formalism. They found that the post Newtonian limit of the theory is identical with that of general theory of relativity except for their…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G S Khadekar , Bavana Butey

In (4 + 1) gravity the assumption that the five-dimensional metric is independent of the fifth coordinate authorizes the extra dimension to be either spacelike or timelike. As a consequence of this, the time coordinate and the extra…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. Ponce de Leon

We extend the classical general relativistic theory of measurement to include the possibility of existence of higher dimensions. The intrusion of these dimensions in the spacetime interval implies that the inertial mass of a particle in…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Hongya Liu , Bahram Mashhoon

Recently we discussed a multimetric gravity theory containing several copies of standard model matter each of which couples to its own metric tensor. This construction contained dark matter sectors interacting repulsively with the visible…

广义相对论与量子宇宙学 · 物理学 2010-10-15 Manuel Hohmann , Mattias N. R. Wohlfarth

Einstein's theory of gravity has been extensively tested on solar system scales, and for isolated astrophysical systems, using the perturbative framework known as the parameterized post-Newtonian (PPN) formalism. This framework is designed…

广义相对论与量子宇宙学 · 物理学 2017-02-24 Viraj A. A. Sanghai , Timothy Clifton

We examine generalizations of the five-dimensional canonical metric by including a dependence of the extra coordinate in the four-dimensional metric. We discuss a more appropriate way to interpret the four-dimensional energy-momentum tensor…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Andrew P. Billyard , William N. Sajko
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