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We investigate the classical gravitational tests for the six-dimensional Kaluza-Klein model with spherical (of a radius $a$) compactification of the internal space. The model contains also a bare multidimensional cosmological constant…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

The main purpose of our paper is to construct a viable Kaluza-Klein model satisfying the observable constraints. To this end, we investigate the six-dimensional model with spherical compactification of the internal space. Background matter…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Ezgi Yalçınkaya , Alexander Zhuk

In a multidimensional Kaluza-Klein model with Ricci-flat internal space, we study the gravitational field in the weak-field limit. This field is created by two coupled sources. First, this is a point-like massive body which has a dust-like…

General Relativity and Quantum Cosmology · Physics 2017-11-03 Alexander Zhuk , Alexey Chopovsky , Seyed Hossein Fakhr , Valerii Shulga , Han Wei

We consider Kaluza-Klein models with background matter in the form of a multicomponent perfect fluid. This matter provides spherical compactification of the internal space with an arbitrary number of dimensions. The gravitating source has…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Maxim Eingorn , Seyed Hossein Fakhr , Alexander Zhuk

We investigate Kaluza-Klein models in the case of spherical compactification of the internal space with an arbitrary number of dimensions. The gravitating source has the dust-like equation of state in the external/our space and an arbitrary…

General Relativity and Quantum Cosmology · Physics 2012-07-19 Maxim Eingorn , Seyed Hossein Fakhr , Alexander Zhuk

In this letter, we consider the six-dimensional Kaluza-Klein models with spherical compactification of the internal space. Here, we investigate the case of bare gravitating compact objects with the dustlike equation of state $\hat p_0=0$ in…

General Relativity and Quantum Cosmology · Physics 2012-09-03 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

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 these remarks, we clarify the problematic aspects of gravitational interaction in a weak-field limit of Kaluza-Klein models. We explain why some models meet the classical gravitational tests, while others do not. We show that variation…

General Relativity and Quantum Cosmology · Physics 2012-06-26 Maxim Eingorn , Alexander Zhuk

We consider a system of gravitating bodies in Kaluza-Klein models with toroidal compactification of extra dimensions. To simulate the astrophysical objects (e.g., our Sun and pulsars) with the energy density much greater than the pressure,…

General Relativity and Quantum Cosmology · Physics 2013-06-18 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

We consider Kaluza-Klein (KK) models where internal spaces are compact Einstein spaces. These spaces are stabilized by background matter (e.g., monopole form-fields). We perturb this background by a compact matter source (e.g., the system…

General Relativity and Quantum Cosmology · Physics 2014-08-08 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

In this paper, we consider a system of gravitating bodies in Kaluza-Klein models with toroidal compactification of extra dimensions. To simulate the astrophysical objects (e.g., our Sun and pulsars) with energy density much greater than…

General Relativity and Quantum Cosmology · Physics 2014-01-28 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

We consider an empty (4+1) dimensional Kaluza-Klein universe with a negative cosmological constant and a Robertson-Walker type metric. It is shown that the solutions to Einstein field equations have degenerate metric and exhibit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 F. Darabi , H. R. Sepangi

We study the effects associated with nonlinearity of $f(R)$ gravity and of the background perfect fluid manifested in the Kaluza-Klein model with spherical compactification. The background space-time is perturbed by a massive gravitating…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Ezgi Canay , Maxim Eingorn , Alexander Zhuk

We investigate a point-like massive source in non-linear f(R) theories in the case of arbitrary number of spatial dimensions D\geq 3. If D>3 then extra dimensions undergo toroidal compactification. We consider a weak-field approximation…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Maxim Eingorn , Alexander Zhuk

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 a possibility for construction of the conventional Friedmann cosmology for our observable Universe if underlying theory is multidimensional Kaluza-Klein model endowed with a perfect fluid. We show that effective Friedmann…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Zhuk

The genuine Kaluza-Klein-like theories (with no fields in addition to gravity with torsion) have difficulties with the existence of massless spinors after the compactification of some of dimensions of space\cite{witten}. We demonstrate in…

High Energy Physics - Theory · Physics 2007-05-23 N. S. Mankoc Borstnik , H. B. Nielsen

In this work we examine the effective four-dimensional world that emanates from a general class of static spherical Ricci-flat solutions in Kaluza-Klein gravity in $D$-dimensions. By means of dimensional reduction we obtain a family of…

General Relativity and Quantum Cosmology · Physics 2010-03-17 J. Ponce de Leon

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
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