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In the Kaluza - Klein approach the (4+d)-dimensional Einstein--Hilbert gravity action is considered. The extra d-dimensional manifold V_d is a Riemann space with the d-parametric group of isometry $G_d$ which acts on V_d by the left shifts…

High Energy Physics - Theory · Physics 2009-10-31 Yu. P. Peresun'ko

We consider a four-dimensional space-time supplemented by two discrete points assigned to a $Z_2$ algebraic structure and develop the formalism of noncommutative geometry. By setting up a generalised vielbein, we study the metric structure.…

High Energy Physics - Theory · Physics 2015-06-26 Nguyen Ai Viet , Kameshwar C. Wali

We propose the Kaluza-Klein inspired Brans-Dicke gravity model containing possible existence of dark matter and dark energy. The massive scalar field coupled with gravity in 5 dimensional spacetime can be reduced to 4 dimensional gravity…

General Relativity and Quantum Cosmology · Physics 2020-11-05 Chakrit Pongkitivanichkul , Daris Samart , Nakorn Thongyoi , Nutthaphat Lunrasri

We explore the shifted $f(R) (\propto R^{1+\delta})$ model with ${\delta}$ as a distinguishing physical parameter for the study of constraints at local scales. The corresponding dynamics confronted with different geodesics (null and…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-05 Vipin Kumar Sharma , Murli Manohar Verma

We study teleparallel gravity in the \emph{original} Kaluza-Klein (KK) scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar $^{(5)}T$ generates the non-Brans-Dicke type…

General Relativity and Quantum Cosmology · Physics 2014-09-04 Chao-Qiang Geng , Chang Lai , Ling-Wei Luo , Huan-Hsin Tseng

In a recent paper (J.R. Morris, Quant. Stud. Math. Found. 2 (2015) 359), an inhomogeneous compactification of the extra dimension of a five-dimensional Kaluza-Klein metric has been shown to generate a position-dependent mass (PDM) in the…

High Energy Physics - Theory · Physics 2017-02-17 Ángel Ballesteros , Iván Gutiérrez-Sagredo , Pedro Naranjo

The purpose of this paper is to study the Kaluza-Klein universe in the context of the $f(R,T)$ gravity theory using magnetized strange quark matter (MSQM). To obtain exact solutions of field equations, we assume two types of volumetric…

General Relativity and Quantum Cosmology · Physics 2023-05-25 S. D. Katore , S. P. Hatkar , D. P. Tadas

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 propose in this paper a mathematicians' view of the Kaluza-Klein idea of a five dimensional space-time unifying gravitation and electromagnetism, and extension to higher-dimensional space-time. By considering the classification of…

General Relativity and Quantum Cosmology · Physics 2013-04-23 Michel Vaugon , Benoit Vaugon , Stephane Collion , Marie Dellinger , Zoé Faget

In this article we investigate mathematically the variant of post-Newtonian mechanics using generalized fractional derivatives. The relativistic-covariant generalization of the classical equations for gravitational field is studied. The…

General Relativity and Quantum Cosmology · Physics 2011-01-21 V. Kobelev

We compute the parametrized post-Newtonian parameter $\gamma$ in the case of a static point source for multiscalar-tensor gravity with completely general nonderivative couplings and potential in the Jordan frame. Similarly to the single…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Manuel Hohmann , Laur Jarv , Piret Kuusk , Erik Randla , Ott Vilson

Kaluza-Klein photon in universal extra dimension models is one of the most attractive dark matter candidates as a weakly interacting massive particle. Having a characteristic split spectrum in split universal extra dimension the relic…

High Energy Physics - Phenomenology · Physics 2009-09-01 Chuan-Ren Chen , Mihoko M. Nojiri , Seong Chan Park , Jing Shu

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 construct consistent Kaluza--Klein reductions of D=11 supergravity to four dimensions using an arbitrary seven-dimensional Sasaki--Einstein manifold. At the level of bosonic fields, we extend the known reduction, which leads to minimal…

High Energy Physics - Theory · Physics 2009-05-01 Jerome P. Gauntlett , Seok Kim , Oscar Varela , Daniel Waldram

Space-time--time couples Kaluza's five-dimensional geometry with Weyl's conformal space-time geometry to produce an extension that goes beyond what either of those theories can achieve by itself. Kaluza's ``cylinder condition'' is replaced…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

We construct Kaluza--Klein-type models with a de Sitter or Minkowski bundle in the de Sitter or Poincar\'e gauge theory of gravity, respectively. A manifestly gauge-invariant formalism has been given. The gravitational dynamics is…

General Relativity and Quantum Cosmology · Physics 2013-06-14 Jia-An Lu , Chao-Guang Huang

In scenarios motivated by string theories, it is possible to have extra Kaluza-Klein dimensions compactified to rather large magnitudes, leading to large effects of gravity at scales down to a TeV. The effect of the spin-2 Kaluza-Klein…

High Energy Physics - Phenomenology · Physics 2009-10-31 Prakash Mathews , Sreerup Raychaudhuri , K. Sridhar

We discuss extra timelike dimensions and their effects on the gravitational stability of spherical massive bodies. Here we specifically report our results for the case of one extra timelike dimension where we have made analytically rigorous…

High Energy Physics - Theory · Physics 2007-05-23 Satoshi Matsuda

We study theories of gravity including, in addition to the metric, several scalar fields in the gravitational sector. The particularity of this work is that we allow for direct couplings between these gravitating scalars and the matter…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Osmin Lacombe , Shinji Mukohyama

The idea of extra dimensions provides a promising approach to overcome various problems in modern physics. This includes theoretical as well as phenomenological aspects, such as the unification of the fundamental interactions or the…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Michael Kalisch