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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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ingunn Kathrine Wehus , Finn Ravndal

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paulo G. Macedo

After the short survey of the Klein Paradox in 3-dimensional relativistic equations, we present a detailed consideration of Dirac modified equation, which follows by one particle infinite overweighting in Salpeter Equation. It is shown,…

High Energy Physics - Theory · Physics 2007-05-23 N. Kevlishvili , A. Khelashvili , T. Nadareishvili

Magnetic fields in five-dimensional Kaluza-Klein theory compactified on a circle correspond to ``twisted'' identifications of five dimensional Minkowski space. We show that a five dimensional generalisation of the Kerr solution can be…

High Energy Physics - Theory · Physics 2009-10-07 Fay Dowker , Jerome Gauntlett , Gary Gibbons , Gary Horowitz

Compactifying a higher-dimensional theory defined in R^{1,3+n} on an n-dimensional manifold {\cal M} results in a spectrum of four-dimensional (bosonic) fields with masses m^2_i = \lambda_i, where - \lambda_i are the eigenvalues of the…

High Energy Physics - Theory · Physics 2014-11-18 Raul Rabadan , Gary Shiu

The genuine Kaluza-Klein-like theories (with no fields in addition to gravity with torsion) have difficulties with the existence of massless spinors after the compactification of some of dimensions of space\cite{witten}. We demonstrate in…

High Energy Physics - Theory · Physics 2007-05-23 N. S. Mankoc Borstnik , H. B. Nielsen

The genuine Kaluza-Klein-like theories (with no fields in addition to gravity) have difficulties with the existence of massless spinors after the ompactification of some of dimensions of space\cite{witten}. We assume a $M^{(1+3)} \times$ a…

High Energy Physics - Theory · Physics 2008-11-26 N. Mankoc Borstnik , H. B. Nielsen

In this paper we show the classical global stability of the flat Kaluza-Klein spacetime, which corresponds to Minkowski spacetime in $\m R^{1+4}$ with one direction compactified on a circle. We consider small perturbations which are allowed…

General Relativity and Quantum Cosmology · Physics 2023-07-31 Cécile Huneau , Annalaura Stingo , Zoe Wyatt

In this work, we develop a generalization of Kaluza-Klein theory by considering a purely affine framework, without assuming a prior metric structure. We formulate the dimensional reduction using the geometry of principal fiber bundles and…

General Relativity and Quantum Cosmology · Physics 2025-08-08 Oscar Castillo-Felisola , Aureliano Skirzewski , Jefferson Vaca-Santana

We consider a spatially homogeneous and isotropic cosmological model where Dirac spinors are coupled to classical gravity. For the Dirac spinors we choose a Hartree-Fock ansatz where all one-particle wave functions are coherent and have the…

Mathematical Physics · Physics 2014-04-23 Felix Finster , Christian Hainzl

We outline that, in a Kaluza-Klein framework, not only the electro-magnetic field can be geometrized, but also the dynamics of a charged spinning particle can be inferred from the motion in a 5-dimensional space-time. This result is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Francesco Cianfrani , Irene Milillo , Giovanni Montani

Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations which can be interpreted as the field equations and the stress-energy tensor. Unification of gravity with…

General Relativity and Quantum Cosmology · Physics 2015-05-18 S. Baskal , H. Kuyrukcu

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

Recently bulk Randall-Sundrum theories with the gauge group $SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ have drawn a lot of interest as an alternative to electroweak symmetry breaking mechanism. These models are in better agreement with…

High Energy Physics - Phenomenology · Physics 2009-11-11 Sanghyeon Chang , Seong Chan Park , Jeonghyeon Song

In 2006 Quesne and Tkachuk (J. Phys. A: Math. Gen. {\bf 39}, 10909, 2006) introduced a (D+1)-dimensional $(\beta,\beta')$-two-parameter Lorentz-covariant deformed algebra which leads to a nonzero minimal length. In this work, the Lagrangian…

High Energy Physics - Theory · Physics 2015-05-28 S. K. Moayedi , M. R. Setare , H. Moayeri

Considering a massive or massless free spinor field propagating in a flat five dimensional space with its fifth dimension compactified either on a strip or on a circle, we analyse the procedure of generation of the four dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Fernand Grard , Jean Nuyts

We construct consistent brane-world Kaluza-Klein reductions involving the radion mode that measures the separation of the domain-wall branes. In these new examples, we can obtain matter supermultiplets coupled to supergravity on the brane,…

High Energy Physics - Theory · Physics 2007-05-23 James T. Liu , H. Lu , C. N. Pope

We consider a condition for a charge confinement and gravito-electromagnetic wave solutions in the Nonsymmetric Kaluza-Klein Theory.We consider also an influence of a cosmological constant on a static,spherically symmetric solution.We…

High Energy Physics - Theory · Physics 2015-08-03 M. W. Kalinowski

We propose in this paper a new approach to the Kaluza-Klein idea of a five dimensional space-time unifying gravitation and electromagnetism, and extension to higher-dimensional space-time. By considering a natural geometric definition of a…

General Relativity and Quantum Cosmology · Physics 2022-10-17 Stephane Collion , Michel Vaugon

During the last century, two independent theories using the concept of dimensional reduction have been developed independently. The first, known as F\"oppl-von K\`arm\`an theory, uses Riemannian geometry and continuum mechanics to study the…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Mokhtar Adda-Bedia , Eytan Katzav