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We study the quantum cosmology of a five dimensional non-compactified Kaluza-Klein theory where the 4D metric depends on the fifth coordinate, $x^4\equiv l$. This model is effectively equivalent to a 4D non-minimally coupled dilaton field…

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

We present a short introduction to the M{\o}ller gravity theory and study the Schwarzschild solution and self-consistent spontaneous compactification solutions in Kaluza-Klein theories, which can be obtained in the framework of this…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Edward Rakhmetov , Sergey Keyzerov

The inclusion of a flat metric tensor in gravitation permits the formulation of a gravitational stress-energy tensor and the formal derivation of general relativity from a linear theory in flat spacetime. Building on the works of Kraichnan…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Brian Pitts , W. C. Schieve

We set up a vacuum theory of gravity with an extra dimension of vanishing proper length. The most general solution to the field equations are presented. This formulation is free of Kaluza-Klein modes and does not allow the propagation of…

General Relativity and Quantum Cosmology · Physics 2020-05-26 Sandipan Sengupta

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 develop a type of Kaluza-Klein formalism in $(4+4)$-dimensions. In the framework of this formalism we obtain a new kind of Schwarzschild metric solutions that via Kruskal-Szequeres can be interpreted as mirror black and white holes. We…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Juan Antonio Nieto , José Edgar Madriz Aguilar

We consider Einstein-Maxwell-dilaton theory in four dimensions including the Kaluza-Klein theory and obtain the general asymptotic solutions in Bondi gauge. We find that there are three different types of news functions representing…

High Energy Physics - Theory · Physics 2020-03-26 H. Lü , Pujian Mao , Jun-Bao Wu

Linearised gravity has magnetic charges carried by (linearised) Kaluza-Klein monopoles. A gauge-invariant expression is found for these charges that is similar to Penrose's gauge-invariant expression for the ADM charges. A systematic search…

High Energy Physics - Theory · Physics 2024-09-13 Chris Hull , Maxwell L. Hutt , Ulf Lindström

I describe the Kaluza-Klein approach to general relativity of 4-dimensional spacetimes. This approach is based on the (2,2)-fibration 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 2009-10-31 J. H. Yoon

We derive a modified dispersion relation for massive particles within the frameworks of five-dimensional Kaluza-Klein theory and general relativity, taking into account strong gravitational effects. The resulting effective mass depends on…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Anna Horváth , Aneta Wojnar , Gergely Gábor Barnaföldi

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

We study Kaluza-Klein reduction in Newton-Cartan gravity. In particular we show that dimensional reduction and the nonrelativistic limit commute. The resulting theory contains Galilean electromagnetism and a nonrelativistic scalar. It…

High Energy Physics - Theory · Physics 2016-06-22 Dieter Van den Bleeken , Cagin Yunus

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

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…

General Relativity and Quantum Cosmology · Physics 2009-05-04 Paul S. Wesson

We perform a comprehensive analysis of the scattering of matter and gravitational Kaluza-Klein (KK) modes in five-dimensional gravity theories. We consider matter localized on a brane as well as in the bulk of the extra dimension for…

High Energy Physics - Phenomenology · Physics 2024-07-02 R. Sekhar Chivukula , Joshua A. Gill , Kirtimaan A. Mohan , Dipan Sengupta , Elizabeth H. Simmons , Xing Wang

We study the Kaluza-Klein inspired Brans-Dicke model with barotropic matter. Following from our previous work, the traditional Kaluza-Klein gravity action is introduced with an additional scalar field and 2 gauge fields. The…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Areef Waeming , Tanech Klangburam , Chakrit Pongkitivanichkul , Daris Samart

If Kaluza-Klein ideas were correct as an explanation of Yang-Mills and General Relativity on spacetime, the extra fibre geometry would have to be a sphere of constant size of the order of 10 Planck lengths, hence subject to quantum gravity…

High Energy Physics - Theory · Physics 2025-07-30 Chengcheng Liu , Shahn Majid

The brane-worlds model was inspired partly by Kaluza-Klein's theory, where the gravitation and the gauge fields are obtained of a geometry of higher dimension (bulk). Such a model has been showing positive in the sense of we find…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. M. Monte

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

The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Cangemi
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