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Although it is well known that Kaluza-Klein and Yang-Mills theories define equivalent structures on principal bundles, the general conditions for equivalence of their Lagrangians have not been explicitly stated. In this paper we address the…

General Relativity and Quantum Cosmology · Physics 2007-07-26 Frank Reifler , Randall Morris

In spite of its problems with interactions, the first-quantized Klein-Gordon equation is a satisfactory theory of free spinless particles. Moreover, the usual theory may be extended to describe Lorentz-violating behavior, of the same types…

High Energy Physics - Theory · Physics 2023-07-26 Brett Altschul

The non-Abelian Kaluza-Klein unification of gravitation with gauge fields theory is reformulated, with the inclusion of a massive spin-2 field defined by the extrinsic curvature. The internal space is non-compact, characterized by the group…

High Energy Physics - Theory · Physics 2013-11-01 D. C. N. Cunha , M. D. Maia

We review the classical and quantum mechanics of Stueckelberg, and introduce the compensation fields necessary for the gauge covariance of the Stueckelberg- Schr\"odinger equation. To achieve this, one must introduce a fifth, Lorentz…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Oron , L. P. Horwitz

Kaluza-Klein theory is a 5-dimensional Einstein general relativity; it has the interest of describing on an equal footing the laws of gravitation and electromagnetism in a geometrically unified way. We present it in Chapter 1, and we…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Mustapha Azreg-Ainou

A new localization scheme for Klein-Gordon particle states is introduced in the form of general space and time operators. The definition of these operators is achieved by establishing a second quantum field in the momentum space of the…

General Physics · Physics 2020-12-01 Vasileios I. Kiosses

We discuss inflationary solutions of the coupled Einstein-Klein-Gordon equations for a complex field in a five dimensional spacetime with a compact $x^5$-dimension. As a new feature, the scalar field contains a dependence on the extra…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. J. van der Bij , Eugen Radu

In this work, we revisit Kaluza-Klein theory from the perspective of the classification of elementary particles based on the coadjoint orbit method. We propose a symmetry group for which the electric charge is invariant and, on this basis,…

General Physics · Physics 2025-03-13 Géry de Saxcé

In this paper we analyse the relativistic quantum motion of a charged spin-0 particle in the presence of a dyon, Aharonov-Bohm magnetic field and scalar potential, in the spacetimes produced by an idealized cosmic string and global…

High Energy Physics - Theory · Physics 2009-11-11 A. L. Cavalcanti de Oliveira , E. R. Bezerra de Mello

A new spherically-symmetric solution is determined in a noncompactified Kaluza-Klein theory in which a time character is ascribed to the fifth coordinate. This solution contains two independent parameters which are related with mass and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 J. Kocinski , M. Wierzbicki

Compactification of the 5-dimensional Kaluza-Klein space-time geometry is considered. The space-time geometry is supposed to be discrete, uniform and isotropic. It is shown, that consideration of the space-time geometry as a physical…

General Physics · Physics 2011-05-13 Yuri A. Rylov

Using measurements of geodetic precession from Gravity Probe B, we constrain possible departures from Einstein's General Relativity for a spinning test body in Kaluza-Klein gravity with one additional space dimension. We consider the two…

General Relativity and Quantum Cosmology · Physics 2014-01-21 J. M. Overduin , R. D. Everett , P. S. Wesson

We analyze the quantum dynamics of a scalar field in a spacetime incorporating dual topological defects, specifically a cosmic string and a global monopole. Utilizing a generalized metric that encapsulates the combined geometric effects of…

General Relativity and Quantum Cosmology · Physics 2025-04-30 L. G. Barbosa , L. C. N. Santos , J. V. Zamperlini , F. M da Silva

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 review some results concerning the properties of static, spherically symmetric solutions of multidimensional theories of gravity: various scalar-tensor theories and a generalized string-motivated model with multiple scalar fields and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 K. A. Bronnikov , V. N. Melnikov

The equations describing the Kaluza-Klein reduction of conformally flat spaces are investigated in arbitrary dimensions. Special classes of solution related to pseudo-Kahler and para-Kahler structures are constructed and classified…

Mathematical Physics · Physics 2009-08-05 Paolo Maraner , Jiannis K. Pachos

The five-dimensional loop quantum Kaluza-Klein cosmology is constructed based on the symmetric reduction of the connection formulation of the full theory. Through semiclassical analysis, the effective scalar constraint for the cosmological…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Shengzhi Li , Yongge Ma , Faqiang Yuan , Xiangdong Zhang

We investigate the classical gravitational tests for the six-dimensional Kaluza-Klein model with spherical (of a radius $a$) compactification of the internal space. The model contains also a bare multidimensional cosmological constant…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

This paper deals with the Klein-Gordon equation on the Poincar\'e chart of the 5-dimensional Anti-de Sitter universe. When the mass $\mu$ is larger than $-{1}{4}$, the Cauchy problem is well posed despite the loss of global hyperbolicity…

Mathematical Physics · Physics 2012-03-27 Alain Bachelot

Einstein's general relativity relates the curvature of space time, a second order differential property, to the stress-energy-momentum tensor. In this paper we ask whether it is possible to develop a first order theory relating space-time…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yaneer Bar-Yam