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Conventional wisdom states that Newton's force law implies only four non-compact dimensions. We demonstrate that this is not necessarily true in the presence of a non-factorizable background geometry. The specific example we study is a…

High Energy Physics - Theory · Physics 2008-11-26 Lisa Randall , Raman Sundrum

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

Causal anomalies in two Kaluza-Klein gravity theories are examined, particularly as to whether these theories permit solutions in which the causality principle is violated. It is found that similarly to general relativity the field…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. J. Reboucas , A. F. F. Teixeira

We consider Kaluza-Klein models where internal spaces are compact flat or curved Einstein spaces. This background is perturbed by a compact gravitating body with the dust-like equation of state (EoS) in the external/our space and an…

General Relativity and Quantum Cosmology · Physics 2018-01-25 Ozgur Akarsu , Alexey Chopovsky , Alexander Zhuk

In this paper, we focus on the general free scalar-tensor gravity with three free coupling functions, which in the near-field region looks like general relativity (GR) plus a fifth force of Yukawa-type induced by the scalar field. We show…

General Relativity and Quantum Cosmology · Physics 2024-04-11 Xing Zhang , Bo Wang , Rui Niu

The tired-light cosmology is considered in the framework of Kaluza-Klein theory in 5D. The solution of the five-dimensional semi-classical Einstein equations with nonzero five-dimensional energy-momentum tensor gives density of matter in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. B. Belayev

We discuss the strongest constraints on the Yukawa-type corrections to Newton's gravitational law within a submicrometer interaction range following from measurements of the Casimir force. In this connection the complicated problems arising…

High Energy Physics - Phenomenology · Physics 2015-06-19 G. L. Klimchitskaya , V. M. Mostepanenko

We show that, in presence of isometries and non-trivial topology, the Einstein--Hilbert action is invariant under certain transformations of the metric which are not diffeomorphisms. These transformations are similar to the higher-form…

High Energy Physics - Theory · Physics 2025-02-05 Carmen Gómez-Fayrén , Tomás Ortín , Matteo Zatti

In this paper, the generation of topological energy in models with large extra dimensions is investigated. The origin of this energy is attributed to a topological deformation of the standard Minkowski vacuum due to compactification of…

High Energy Physics - Theory · Physics 2007-05-23 Abhinav Gupta

The Kaluza and Klein versions of Kaluza-Klein theory are reviewed and compared. The differences in the field equations of the two theories are related to the transformation properties of the metrics employed. Based on this comparison a…

High Energy Physics - Theory · Physics 2008-12-09 Terence V. Sewards

In the six-dimensional Kaluza-Klein model with the multidimensional cosmological constant $\Lambda_6$, we obtain the black brane with spherical compactification of the internal space. The matter source for this exact solution consists of…

General Relativity and Quantum Cosmology · Physics 2012-08-08 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

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

As one knows, strong discrepancies are found between the different precise measurements of the gravitational constant carried out in Earth-based laboratories. While the precision are increasing in different laboratories and with various…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Jean Paul Mbelek

Some reasonings are presented that the problem of a singularity in general relativity with the problem of freezing of the $5^{th}$ dimension can be connected. It is shown that some solutions in the 5D Kaluza-Klein gravity with the cross…

General Relativity and Quantum Cosmology · Physics 2007-07-02 Vladimir Dzhunushaliev , Ratbay Myrzakulov

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 investigate five-dimensional vacuum solutions which represent rotating multi-black holes in asymptotically Kaluza-Klein spacetimes. We show that multi-black holes rotate maximally along extra dimension, and stationary configurations in…

High Energy Physics - Theory · Physics 2012-08-24 Ken Matsuno , Hideki Ishihara , Masashi Kimura , Takamitsu Tatsuoka

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

A Five dimensional Kaluza-Klein space-time is considered in the presence of a perfect fluid source with variable G and $\Lambda$. An expanding universe is found by using a relation between the metric potential and an equation of state. The…

General Relativity and Quantum Cosmology · Physics 2011-03-07 R. K. Tiwari , Farook Rahaman , Saibal Ray

We consider the lowest order quantum gravitational corrections to Yukawa and Phi^4 interactions. Our results show that quantum gravity leads to contributions to the running coupling constants if the particles are massive and therefore…

High Energy Physics - Theory · Physics 2010-04-06 Andreas Rodigast , Theodor Schuster

We consider the problem of gravitational forces between point particles on the branes in a five dimensional (5D) Randall-Sundrum model with two branes (at $y_1$ and $y_2$) and $S^1/Z_2$ symmetry of the fifth dimension. The matter on the…

High Energy Physics - Theory · Physics 2008-11-26 R. Arnowitt , J. Dent