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We study a dynamic $\Lambda$ model with varying gravitational constant $G$ under the Kaluza-Klein cosmology. Physical features and the limitations of the present model have been explored and discussed. Solutions are found mostly in…

General Physics · Physics 2015-05-28 Utpal Mukhopadhyay , Ipsita Chakraborty , Saibal Ray , A. A. Usmani

We consider a free real vector field propagating in a five dimensional flat space with its fifth dimension compactified either on a strip or on a circle and perform a Kalaza Klein reduction which breaks SO(4,1) invariance while reserving…

High Energy Physics - Theory · Physics 2015-05-18 Fernand Grard , Jean Nuyts

We consider the Einstein flow on a product manifold with one factor being a compact quotient of 3-dimensional hyperbolic space without boundary and the other factor being a flat torus of fixed arbitrary dimension. We consider initial data…

Mathematical Physics · Physics 2019-03-01 Volker Branding , David Fajman , Klaus Kroencke

Compactification of the 5-dimensional Kaluza-Klein space-time geometry is considered. The space-time geometry is supposed to be discrete, uniform and isotropic. It is shown, that consideration of the space-time geometry as a physical…

General Physics · Physics 2011-05-13 Yuri A. Rylov

The non-Abelian Kaluza-Klein unification of gravitation with gauge fields theory is reformulated, with the inclusion of a massive spin-2 field defined by the extrinsic curvature. The internal space is non-compact, characterized by the group…

High Energy Physics - Theory · Physics 2013-11-01 D. C. N. Cunha , M. D. Maia

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

Scattering amplitudes involving massive spin-2 particles typically grow rapidly with energy. In this paper we demonstrate that the anomalous high-energy growth of the scattering amplitudes cancel for the massive spin-2 Kaluza-Klein modes…

High Energy Physics - Phenomenology · Physics 2022-06-23 R. Sekhar Chivukula , Dennis Foren , Kirtimaan A. Mohan , Dipan Sengupta , Elizabeth H. Simmons

This paper investigates a spherically symmetric compact relativistic body with isotropic pressure profiles within the framework of general relativity. In order to solve the Einstein's field equations, we have considered the Vaidya-Tikekar…

Astrophysics of Galaxies · Physics 2021-11-29 Jitendra Kumar , Puja Bharti

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

In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yoshiyuki Morisawa , Kunihito Uzawa , Shinji Mukohyama

Beginning with the Pauli-Fierz theory, we construct a model for multi-graviton theory. Couplings between gravitons belonging to nearest-neighbor ``theory spaces'' lead to a discrete mass spectrum. Our model coincides with the Kaluza-Klein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nahomi Kan , Kiyoshi Shiraishi

Recently there have been discussions about which complex metrics should be allowable in quantum gravity. These discussions assumed that the matter fields were real valued. We make the observation that for compactified solutions it makes…

High Energy Physics - Theory · Physics 2023-02-22 Jean-Luc Lehners

A new Kaluza--Klein-like (KK-like) model of the de Sitter gauge theory of gravity is constructed from the geometry related to the gauge-invariant expressions of the gravitational fields. The model reduces to general relativity with a…

General Relativity and Quantum Cosmology · Physics 2014-08-21 Jia-An Lu

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

We study the spherical gravitational collapse of a compact object under the approximation that the radial pressure is identically zero, and the tangential pressure is related to the density by a linear equation of state. It turns out that…

General Relativity and Quantum Cosmology · Physics 2009-10-30 T. P. Singh , Louis Witten

Five dimensional model with extended dimensions investigated. It is shown that four dimensionality of our world is the result of stability requirement. Extra component of Einstein equations giving trapping solution for matter fields…

High Energy Physics - Phenomenology · Physics 2009-10-31 Merab Gogberashvili

We present the detailed analyses of five-dimensional loop quantum Kaluza-Klein cosmology based on the symmetric reduction of the connection formulation of the full theory. The previous results in a particular scenario are extended to more…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Shengzhi Li , Yongge Ma , Faqiang Yuan , Xiangdong Zhang

Geometrization of the fundamental interactions has been extensively studied during the century. The idea of introducing compactified spatial dimensions originated by Kaluza and Klein. Following their approach, several model were built…

General Relativity and Quantum Cosmology · Physics 2015-09-25 Gergely Gábor Barnaföldi , Szilvia Karsai , Béla Lukács , Péter Pósfay

We consider an internal space of two discrete points in the fifth dimension of the Kaluza-Klein theory by using the formalism of noncommutative geometry developed in a previous paper \cite{VIWA} of a spacetime supplemented by two discrete…

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

Simple cosmological models based upon five-dimensional Kaluza-Klein relativity are re-examined and interesting properties are indicated. These models are special cases of those obtained by Davidson et al. and Mann and Vincent, specifically,…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Darrell Jackson