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After the 1916 success of General relativity that explained gravity by adding time as a fourth dimension, physicists have been trying to explain other physical fields by adding extra dimensions. In 1921, Kaluza and Klein has shown that…

Classical Physics · Physics 2007-05-23 Scott A. Starks , Olga Kosheleva , Vladik Kreinovich

We study scalar fields propagating on Euclidean dynamical triangulations (EDT). In this work we study the interaction of two scalar particles, and we show that in the appropriate limit we recover an interaction compatible with Newton's…

High Energy Physics - Lattice · Physics 2021-06-30 Mingwei Dai , Jack Laiho , Marc Schiffer , Judah Unmuth-Yockey

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

The interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is investigated in an approach that deals with four-dimensional (4D) geometric quantities. The new commutation relations for the 4D…

High Energy Physics - Theory · Physics 2011-11-09 Tomislav Ivezić

We study in detail the equations of the geodesic deviation in multidimensional theories of Kaluza-Klein type. We show that their 4-dimensional space-time projections are identical with the equations obtained by direct variation of the usual…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Richard Kerner , Jerome Martin , Salvatore Mignemi , Jan-Willem van Holten

A generation procedure, based on the 5-dimensional covariance of the Kaluza-Klein theory, is developed. The procedure allows one to obtain exact solutions of the 4-dimensional Einstein equations with electromagnetic and scalar fields from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergey S. Kokarev

We study the physics of a single discrete gravitational extra dimension using the effective field theory for massive gravitons. We first consider a minimal discretization with 4D gravitons on the sites and nearest neighbor hopping terms. At…

High Energy Physics - Theory · Physics 2011-07-19 Nima Arkani-Hamed , Matthew D. Schwartz

It has recently been argued that quantization can be established within classical theory as a consequence of lost information. In this view, classical mechanics is regarded as a union of quantum mechanics and what are called 'hidden…

General Physics · Physics 2007-05-23 J. Towe

In classical Kaluza-Klein theory, with compactified extra dimensions and without scalar field, the rest mass as well as the electric charge of test particles are constants of motion. We show that in the case of a large extra dimension this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Ponce de Leon

Scalar field models with non-standard kinetic terms have been proposed in the context of k-inflation, of Born-Infeld lagrangians, of phantom energy and, more in general, of low-energy string theory. In general, scalar fields are expected to…

High Energy Physics - Theory · Physics 2009-11-10 Luca Amendola

In the present work we analize the behavior of 5-dimensional gravitational waves propagating on a Kaluza-Klein background and we face separately the two cases in which respectively the waves are generated before and after the process of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Emanuele Alesci , Giovanni Montani

Multidimensional theories still remain attractive from the point of view of better understanding fundamental interactions. In this paper a six-dimensional Kaluza-Klein type model at the classical, Einstein's gravity formulation is…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Jacek Syska

A five-dimensional treatment of the Boltzmann equation is used to establish the constitutive equations that relate thermodynamic fluxes and forces up to first order in the gradients for simple charged fluids in the presence of…

General Relativity and Quantum Cosmology · Physics 2022-08-24 A. R. Sagaceta-Mejia , A. Sandoval-Villalbazo , A. L. Garcia-Perciante

A matter-coupled scalar field model is presented in obtaining a scalar fifth force when the constraint of the current cosmological constant is satisfied. The interaction potential energy density between the scalar field and matter has a…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Hai-Chao Zhang

A free test particle in 5-dimensional Kaluza-Klein spacetime will show its electricity in the reduced 4-dimensional spacetime when it moves along the fifth dimension. In the light of this observation, we study the coupling of a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yongge Ma , Jun Wu

A framework based on an extension of Kaluza's original idea of using a five dimensional space to unify gravity with electromagnetism is used to analyze Maxwell\'{}s field equations. The extension consists in the use of a six dimensional…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Ana Laura García-Perciante , Alfredo Sandoval-Villalbazo , L. S. García Colín

We analyze the gravity-induced effects associated with a massless scalar field in a higher-dimensional spacetime being the tensor product of $(d-n)$-dimensional Minkowski space and $n$-dimensional spherically/cylindrically-symmetric space…

High Energy Physics - Theory · Physics 2017-03-08 Yuri V. Grats , Pavel Spirin

A five-dimensional solution to Einstein's equations coupled to a scalar field has been proposed as a partial solution to the cosmological constant problem: the effect of arbitrary vacuum energy (tension) of a 3-brane is cancelled; however,…

High Energy Physics - Theory · Physics 2014-11-18 P. Binetruy , J. M. Cline , C. Grojean

A new five dimensional spherical vacuum solution is both dervied and its signature, curvature and truncation discussed. Its truncation leads to a four dimensional spacetime with similiar stress to those found by charge-free Kaluza-Klein…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Mark D. Roberts

To better understand the scalar field typical of higher-dimensional extensions of general relativity, we analyse three classes of solutions. In all, the field equation for the extra dimension resembles the Klein-Gordon equation, and we…

General Relativity and Quantum Cosmology · Physics 2013-10-25 Paul S. Wesson , James M. Overduin