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In this paper we consider the Kaluza-Klein fields equations in presence of a generic 5D matter tensor which is governed by a conservation equation due to 5D Bianchi identities. Following a previous work, we provide a consistent approach to…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Valentino Lacquaniti , Giovanni Montani

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 show that the recent work of Lee [23] implies existence of a large class of new singularity-free strictly static Lorentzian vacuum solutions of the Einstein equations with a negative cosmological constant. This holds in all space-time…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Anderson , P. T. Chrusciel , E. Delay

We study the case in which the five dimensional theory is the transformed Weyl$-$Yang$-$Kaluza$-$Klein gravity. The dimensionally reduced equations of motion are derived by considering an alternative form of the main equation of the theory…

General Relativity and Quantum Cosmology · Physics 2022-12-29 Halil Kuyrukcu

In this contribution, the relativistic quantum motions of the position-dependent mass (PDM) oscillator field with a scalar potential in the context of the Kaluza-Klein theory is investigated. Through a purely analytical analysis, the…

High Energy Physics - Theory · Physics 2023-07-20 A. Bouzenada , A. Boumali , O. Mustafa , RLL. Vetoria , M. Alraeei

We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no…

Differential Geometry · Mathematics 2022-09-28 Frédéric Hélein

We study null alignment properties of Weyl tensors related via Kaluza$\unicode{x2013}$Klein reduction of vacuum spacetimes by one spatial Killing direction. Kaluza$\unicode{x2013}$Klein reduction is a method that relates spacetimes of…

General Relativity and Quantum Cosmology · Physics 2023-01-19 Tomáš Tintěra

Additional U(1) gauge symmetries and corresponding vector bosons, called hidden photons, interacting with the regular photon via kinetic mixing are well motivated in extensions of the Standard Model. Such extensions often exhibit extra…

High Energy Physics - Phenomenology · Physics 2013-11-26 Chris J. Wallace , Joerg Jaeckel , Sabyasachi Roy

In this work, the tools of general relativity are used to analytically derive collisional stopping power and a linkage between higher-dimensional field theory and transport phenomena is proposed. We start from a Kaluza-Klein inspired,…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Seyda Elife Gönül , Huriye Gürsel

We present technical results which extend previous work and show that the cosmological constant of general relativity is an artefact of the reduction to 4D of 5D Kaluza-Klein theory (or 10D superstrings and 11D supergravity). We argue that…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Paul S. Wesson , Hongya Liu

We calculate the scalar Casimir energy and Casimir force for a $R^3\times N$ Kaluza-Klein piston setup in which the extra dimensional space $N$ contains a non-commutative 2-sphere, $S_{FZ}$. The cases to be studied are $T^d\times S_{FZ}$…

High Energy Physics - Theory · Physics 2011-04-22 V. K. Oikonomou

We investigate a possibility that our four-dimensional world is a brane-like object embedded in a higher dimensional spacetime. In such a situation, the transverse coordinates of the brane become the Nambu-Goldstone bosons which appear as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Taichiro Kugo , Koichi Yoshioka

The vacuum Einstein equations in 5+1 dimensions are shown to admit solutions describing naked singularity formation in gravitational collapse from nonsingular asymptotically locally flat initial data that contain no trapped surface. We…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Xinliang An , Xuefeng Zhang

We extend the classical general relativistic theory of measurement to include the possibility of existence of higher dimensions. The intrusion of these dimensions in the spacetime interval implies that the inertial mass of a particle in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongya Liu , Bahram Mashhoon

We review some known results on the superintegrability of monopole systems in the three-dimensional (3D) Euclidean space and in the 3D generalized Taub-NUT spaces. We show that these results can be extended to certain curved backgrounds…

Mathematical Physics · Physics 2024-07-17 Antonella Marchesiello , Daniel Reyes , Libor Šnobl

We study Kaluza-Klein cosmology in cuscuton gravity and find an exact solution describing an accelerating 4-dimensional universe with a stable extra dimension. A cuscuton which is a non-dynamical scalar field is responsible for the…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Asuka Ito , Yuki Sakakihara , Jiro Soda

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

Using the modern Kaluza-Klein theory of gravity (or the Induced Matter theory), we study the Dirac equation for massive neutrinos on a de Sitter background metric from a 5D Riemann-flat (and hence Ricci-flat) extended de Sitter metric, on…

High Energy Physics - Theory · Physics 2015-06-03 Pablo Alejandro Sánchez , Mariano Anabitarte , Mauricio Bellini

We study (3+1)+D dimensional spacetime, where D extra dimensions are timelike. Compactification of the D timelike dimensions leads to tachyonic Kaluza-Klein gravitons. We calculate the gravitational self-energies of massive spherical bodies…

High Energy Physics - Theory · Physics 2009-10-31 Satoshi Matsuda , Shigenori Seki

In this paper we investigate non-compact FRW type Kaluza-Klein cosmology coupled with 5D energy-momentum tensor. The field equations are solved by taking gravitational and cosmological constants as a function of time $t$. We use…

General Physics · Physics 2011-06-10 M. Sharif , Farida Khanum