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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

We show that a class of solutions of minimal supergravity in five dimensions is given by lifts of three--dimensional Einstein--Weyl structures of hyper-CR type. We characterise this class as most general near--horizon limits of…

High Energy Physics - Theory · Physics 2017-02-15 Maciej Dunajski , Jan Gutowski , Wafic Sabra

Pushing forward the similitudes between the gravitational collapse and the expansion of the universe (in the reversed sense of time), it should be expected that, during the collapse, eventually, a spacetime domain would be reached where…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

We study static vortex type solutions of pure gravity for $D \geq 4+1 $. Non-singular vortex solutions can be obtained by considering periodic Kaluza-Klein monopoles. We also show that away from the center of the vortices the space is…

High Energy Physics - Theory · Physics 2009-10-31 Vakif K. Onemli , Bayram Tekin

A correspondence between the three-block truncated 11D supergravity and the 8D pure Einstein gravity with two commuting Killing symmetries is discussed. The Kaluza-Klein two-forms of the 6D theory obtained after dimensional reduction along…

High Energy Physics - Theory · Physics 2007-05-23 Chiang-Mei Chen , Dmitri V. Gal'tsov , Sergei A. Sharakin

We demonstrate how, for an arbitrary number of dimensions, the Galileon actions and their covariant generalizations can be obtained through a standard Kaluza-Klein compactification of higher-dimensional Lovelock gravity. In this setup, the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Karel Van Acoleyen , Jos Van Doorsselaere

We evaluate the divergent part of the Vilkovisky-DeWitt effective action for Einstein gravity on even-dimensional Kaluza-Klein spacetimes of the form $M^{4}\times S^{N}$. Explicit results are given for $N$=2, 4, and 6. Trace anomalies for…

High Energy Physics - Theory · Physics 2009-10-31 H. T. Cho , R. Kantowski

We consider a five-dimensional Einstein-Gauss-Bonnet model, which gives rise after dimensional reduction to Einstein gravity nonminimally coupled to nonlinear electrodynamics. The black hole solutions of the four-dimensional model modify…

General Relativity and Quantum Cosmology · Physics 2023-12-01 S. Mignemi

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

Three families of exact solutions of Einstein field equations are found. Each family contains three parameters. Two of these families represent thick domain walls in a five dimensional Kaluza-Klein spacetime. The dynamical behaviour of our…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. K. Patel , Naresh Dadhich , R. Tikekar

In Kaluza-Klein model with toroidal extra dimensions, we obtain the metric coefficients in a weak-field approximation for delta-shaped matter sources. These metric coefficients are applied to calculate the formulas for frequency shift,…

General Relativity and Quantum Cosmology · Physics 2010-10-29 Maxim Eingorn , Alexander Zhuk

We review some properties of the Einstein-"Gauss-Bonnet" equations for gravity--also called the Einstein-Lanczos equations in five and six dimensions, and the Lovelock equations in higher dimensions. We illustrate, by means of simple…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nathalie Deruelle , John Madore

We obtain a dynamical formulation of two-dimensional gravity from a non-Einsteinian phase in higher dimensions $(D=3+2n)$. The formalism is associated with (at least) one extra dimension of vanishing proper length, thus being inequivalent…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Suvikranth Gera , Sandipan Sengupta

We explain how to construct solutions to the self-dual Einstein vacuum equations from solutions of various two-dimensional integrable systems by exploiting the fact that the Lax formulations of both systems can be embedded in that of the…

solv-int · Physics 2009-10-31 M. Dunajski , L. J. Mason , N. M. J. Woodhouse

A short scientific biography is given of physicist Paul Wesson (1949-2015), who published over 300 works encompassing the fields of astrobiology, astrophysics, geophysics, cosmology, and relativity; and who was particularly associated with…

History and Philosophy of Physics · Physics 2018-11-19 James Overduin

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

We show that the Wess-Zumino action for the spontaneously broken Weyl (or conformal) symmetry, a.k.a dilaton effective action, in even $D$ dimensions can be obtained from the Kaluza-Klein dimensional reduction of the Lovelock action in…

High Energy Physics - Theory · Physics 2022-06-15 Minoru Matsumoto , Yu Nakayama

In this brief review we discuss the viability of a multidimensional geometrical theory with one compactified dimension. We discuss the case of a Kaluza Klein fifth dimensional theory, addressing the problem by an overview of the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 D. Pugliese , G. Montani

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

Unimodular theory incorporating the Kaluza-Klein construction in five dimensions leads, after reduction to four dimensions, to a new class of scalar-tensor theory. The vacuum cosmological solutions display a bouncing, non singular behavior.…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Júlio C. Fabris , Richard Kerner
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