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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…

High Energy Physics - Theory · Physics 2007-05-23 J. Madore , J. Mourad

Geodesics in general relativity describe the behaviour of test particles in a gravitational field. In 5D Kaluza-Klein, geodesics reproduce the Lorentz force motion of particles in an electromagnetic field. This paper studies geodesic motion…

High Energy Physics - Theory · Physics 2025-02-13 Joao Baptista

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

We investigate Kaluza-Klein models in the case of spherical compactification of the internal space with an arbitrary number of dimensions. The gravitating source has the dust-like equation of state in the external/our space and an arbitrary…

General Relativity and Quantum Cosmology · Physics 2012-07-19 Maxim Eingorn , Seyed Hossein Fakhr , Alexander Zhuk

We propose a Kaluza-Klein approach to general relativity of 4-dimensional spacetimes. This approach is based on the (2,2)-splitting of a generic 4-dimensional spacetime, which is viewed as a local product of a (1+1)-dimensional base…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. H. Yoon

In Kaluza-Klein models, we investigate soliton solutions of Einstein equation. We obtain the formulas for perihelion shift, deflection of light, time delay of radar echoes and PPN parameters. We find that the solitonic parameter k should be…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Maxim Eingorn , Alexander Zhuk

We consider the Einstein-Hilbert action without cosmological constant in 5-dimensions and implement the Kaluza-Klein (KK) reduction by compactifying the fifth direction on a circle of small but finite radius. For non-zero compactification…

High Energy Physics - Theory · Physics 2019-10-24 O-Kab Kwon , Seokcheon Lee , D. D. Tolla

By assuming that the geometry of spacetime is uniquely determined by the energy momentum tensor of matter alone, i.e. without any interactions, enables us to construct the Lagrangian from which the metric of higher dimensional spacetime…

General Relativity and Quantum Cosmology · Physics 2024-04-09 L Horoto , F G Scholtz

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

Kaluza-Klein approach in an N(=1+3+D)-dimensional Friedmann-Robertson-Walker type space is often adopted in the literature. We derive a compact expression for the Friedmann equation in a (1+3+D)-dimensional space. The redundancy of the…

High Energy Physics - Theory · Physics 2007-05-23 W. F. Kao

One of the strongest constraints on the existence of large, compact, "gravity-only" dimensions comes from SN1987a. If the rate of energy loss into these putative extra dimensions is too high, then the neutrino pulse from the supernova will…

Nuclear Theory · Physics 2014-11-18 Christoph Hanhart , Daniel R. Phillips , Sanjay Reddy , Martin J. Savage

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

We introduce a generalized gravitational conformal invariance in the context of non-compactified 5D Kaluza-Klein theory. It is done by assuming the 4D metric to be dependent on the extra non-compactified dimension. It is then shown that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 F. Darabi , P. S. Wesson

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

The Kaluza-Klein reduction of the 3d gravitational Chern-Simons term to a 2d theory is equivalent to a Poisson-sigma model with fourdimensional target space and degenerate Poisson tensor of rank 2. Thus two constants of motion (Casimir…

High Energy Physics - Theory · Physics 2009-11-10 D. Grumiller , W. Kummer

A brief review of the recent developments in the physics from extra dimensions is given with a focus on the effects of Kaluza-Klein excitations in the Standard Model sector. It is shown that the current accurate data on the Fermi constant…

High Energy Physics - Phenomenology · Physics 2014-11-17 Pran Nath

The Cosmological Principle is applied to a five-dimensional vacuum manifold. The general (non-trivial) solution is explicitly given. The result is a unique metric, parametrized with the sign of the space curvature ($k=0,\pm 1$) and the…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Carles Bona , Miguel Bezares

We systematically study the holographic phase transition of the radion field in a five-dimensional warped model which includes a scalar potential with a power-like behavior. We consider Kaluza-Klein (KK) resonances with masses $m_{\rm KK}$…

High Energy Physics - Phenomenology · Physics 2020-09-16 Eugenio Megias , Germano Nardini , Mariano Quiros

We reduce the Taub-NUT metric dimensionally to three spatial dimensions by treating time as an extra curled dimension, and end up with the 3-dimensional Einstein field equations plus a corresponding Maxwell type equations for a…

High Energy Physics - Theory · Physics 2026-01-29 Mehran Z-Abyaneh , Mehrdad Farhoudi

Many features of dimensional reduction schemes are determined by the breaking of higher dimensional general covariance associated with the selection of a particular subset of coordinates. By investigating residual covariance we introduce…

High Energy Physics - Theory · Physics 2008-11-26 Paolo Maraner , Jiannis K. Pachos