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The main purpose of our paper is to construct a viable Kaluza-Klein model satisfying the observable constraints. To this end, we investigate the six-dimensional model with spherical compactification of the internal space. Background matter…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Ezgi Yalçınkaya , Alexander Zhuk

The Kerr-Taub-NUT spacetime in the Kaluza-Klein theory represents a localized stationary and axisymmetric object in four dimensions from the Kaluza-Klein viewpoint. That is, it harbors companion electromagnetic and dilaton fields, thereby…

General Relativity and Quantum Cosmology · Physics 2013-04-03 Göksel Daylan Esmer

In this contribution, the relativistic quantum motions of the position-dependent mass (PDM) oscillator field with a scalar potential in the context of the Kaluza-Klein theory is investigated. Through a purely analytical analysis, the…

High Energy Physics - Theory · Physics 2023-07-20 A. Bouzenada , A. Boumali , O. Mustafa , RLL. Vetoria , M. Alraeei

The behaviour of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string spacetime is discussed. It is considered two possible scenarios of the Lorentz…

High Energy Physics - Theory · Physics 2016-03-16 H. Belich , K. Bakke

We find three exact solutions to the Klein-Gordon equation in 1-1 dimensional space-time for different time dependent potentials. In two cases we consider a time dependent scalar potential and in one case a time dependent electric…

Quantum Physics · Physics 2010-07-14 Dan Solomon

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold…

High Energy Physics - Theory · Physics 2009-11-11 Hideki Maeda , Naresh Dadhich

In this paper, the basic quantum field equations of free particle with 0-spin, 1-spin (for case of massless and mass $>$ 0) and 1/2 spin are derived from Einstein equations under modified Kaluza-Klein metric, it shows that the equations of…

Quantum Physics · Physics 2007-05-23 Xiaodong Chen

The idea of extra dimensions provides a promising approach to overcome various problems in modern physics. This includes theoretical as well as phenomenological aspects, such as the unification of the fundamental interactions or the…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Michael Kalisch

The unimodular version of the Kaluza-Klein theory is briefly recalled, and its projection on the $4$-dimensional spacetime is constructed. Imposing unimodularity condition on the $5$-dimensional Kaluza-Klein metric, det$g_{AB}=1$ is…

General Relativity and Quantum Cosmology · Physics 2026-01-30 J. C. Fabris , S. Faller , R. Kerner

We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no…

Differential Geometry · Mathematics 2022-09-28 Frédéric Hélein

Geometric sigma models are purely geometric theories of scalar fields coupled to gravity. Geometrically, these scalars represent the very coordinates of space-time, and, as such, can be gauged away. A particular theory is built over a given…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. Vasilic

Kaluza-Klein reduction of conformally flat spaces is considered for arbitrary dimensions. The corresponding equations are particularly elegant for the reduction from four to three dimensions. Assuming circular symmetry leads to explicit…

Mathematical Physics · Physics 2008-11-26 D. Grumiller , R. Jackiw

We present the detailed analyses of five-dimensional loop quantum Kaluza-Klein cosmology based on the symmetric reduction of the connection formulation of the full theory. The previous results in a particular scenario are extended to more…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Shengzhi Li , Yongge Ma , Faqiang Yuan , Xiangdong Zhang

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…

General Relativity and Quantum Cosmology · Physics 2024-02-19 J. L. Hernández-Pastora

Based on an extended time-space symmetry, a cylindrical model of gravitational geometrical dynamics with two time-like extra-dimensions leads to a microscopic geodesic description of the curved space-time. Due to interaction of a Higgs-like…

General Physics · Physics 2015-10-15 Vo Van Thuan

We examine in the framework of 5d Kaluza-Klein theory the gauge equivalence of $x^5$-dependent cosmological solutions each of which describes in the 4d sector an arbitrarily evolving isotropic, homogeneous universe with some pure gauge. We…

High Energy Physics - Theory · Physics 2007-05-23 Gyeong Yun Jun , Pyung Seong Kwon

We discuss the equations of motion of test particles for a version of Kaluza-Klein theory where the cylinder condition is not imposed. The metric tensor of the five-dimensional manifold is allowed to depend on the fifth coordinate. This is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Ponce de Leon

The Kerr spacetime in Kaluza-Klein theory describes a rotating black hole in four dimensions from the Kaluza-Klein point of view and involves the signature of an extra dimension that shows up through the appearance of the electric and…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Alikram N. Aliev , Goksel Daylan Esmer

We present a geometrical unification theory in a Kaluza-Klein approach that achieve the geometrization of a generic gauge theory bosonic component. We show how it is possible to derive the gauge charge conservation from the invariance of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Cianfrani , A. Marrocco , G. Montani

The geometrization of the Electro-Weak Model is achieved in a 5-dimensional Riemann-Cartan framework. Matter spinorial fields are extended to 5 dimensions by the choice of a proper dependence on the extra-coordinate and of a normalization…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Orchidea Maria Lecian Giovanni Montani