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We consider a five dimensional vacuum cosmology with Bianchi type-IX spatial geometry and an extra non-compact coordinate. Finding a new class of solutions, we examine and rule out the possibility of deterministic chaos. We interpret this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Paul Halpern

Starting from a five-dimensional (5D) vacuum theory of gravity where the extra coordinate is considered as noncompact, we investigate the possibility of inducing four-dimensional (4D) phantom scenarios by applying form-invariance symmetry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose Edgar Madriz Aguilar , Mauricio Bellini

Using the language of differential forms, the Kaluza-Klein theory in 4+1 dimensions is derived. This theory unifies electromagnetic and gravitational interactions in four dimensions when the extra space dimension is compactified. Without…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ingunn Kathrine Wehus , Finn Ravndal

In this letter we investigate some consequences of considering our 4D observable universe as locally and isometrically embeded into a 5D spacetime, where gravity is described by a Brans-Dicke theory in vacuum. Once we impose the embeding…

General Relativity and Quantum Cosmology · Physics 2017-06-28 José Edgar Madriz Aguilar , J. Zamarripa , A. Peraza , J. A. Licea

Following the idea of the induced matter theory, for a non-vacuum five-dimensional version of general relativity, we propose a model in which the induced terms emerging from the extra dimension in our four-dimensional space-time, supposed…

General Relativity and Quantum Cosmology · Physics 2018-07-27 Amir F. Bahrehbakhsh

We study the role of the brane-induced graviton kinetic term in theories with large extra dimensions. In five dimensions we construct a model with a TeV-scale fundamental Planck mass and a {\it flat} extra dimension the size of which can be…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gia Dvali , Gregory Gabadadze , Marko Kolanovic , Francesco Nitti

We extend to multidimensional cosmology Vilenkin's prescription of tunnelling from nothing for the quantum origin of the observable Universe. Our model consists of a $D+4$-dimensional spacetime of topology ${\cal R}\times {\cal S}^3…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Enrico Carugno , Marco Litterio , Franco Occhionero , Giuseppe Pollifrone

A novel theory of Quantum Gravity is presented in which the real gravitons manifest themselves as holes in space. In general, these holes propagate at the speed of light through an expanding universe with boundary denoted by U, which is…

General Physics · Physics 2015-08-26 Gregory W. Horndeski

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

The description of gravity in the form of an embedding theory is based on the hypothesis that our space-time is a four-dimensional surface in a flat ten-dimensional space. The choice of standard Einstein-Hilbert action leads in this case to…

General Relativity and Quantum Cosmology · Physics 2023-07-06 S. A. Paston , A. D. Kapustin

A null path in 5D can appear as a timelike path in 4D, and for a certain gauge in 5D the motion of a massive particle in 4D obeys the usual quantization rule with an uncertainty-type relation. Generalizations of this result are discussed in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Paul S. Wesson

We show that the combination of cubic invariants defining five-dimensional quasitopological gravity, when written in four dimensions, reduce to the version of four-dimensional Einsteinian gravity recently proposed by Arciniega, Edelstein &…

High Energy Physics - Theory · Physics 2022-06-14 Adolfo Cisterna , Nicolas Grandi , Julio Oliva

Multidimensional cosmological models with $n~(n > 1)$ Einstein spaces are discussed classically and with respect to canonical quantization. These models are integrable in the case of Ricci flat internal spaces. For negative curvature of the…

General Relativity and Quantum Cosmology · Physics 2009-09-25 U. Bleyer , A. Zhuk

We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum mechanical matrix model. We do this for…

High Energy Physics - Theory · Physics 2010-11-19 Timothy J. Hollowood

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 consider a version of Kaluza-Klein theory where the cylinder condition is not imposed. The metric is allowed to have explicit dependence on the "extra" coordinate(s). This is the usual scenario in brane-world and space-time-matter…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. Ponce de Leon

We construct a class of Einstein-vector theories where the vector field couples bilinearly to the curvature polynomials of arbitrary order in such a way that only Riemann tensor rather than its derivative enters the equations of motion. The…

High Energy Physics - Theory · Physics 2016-02-17 Wei-Jian Geng , H. Lu

The statistical origin of the entropy of charged black holes in models of induced Einstein-Maxwell gravity is investigated. The constituents inducing the Einstein-Maxwell action are charged and interact with an external gauge potential.…

High Energy Physics - Theory · Physics 2009-10-31 V. P. Frolov , D. V. Fursaev

Using the modern Kaluza-Klein theory of gravity (or the Induced Matter theory), we study the Dirac equation for massive neutrinos on a de Sitter background metric from a 5D Riemann-flat (and hence Ricci-flat) extended de Sitter metric, on…

High Energy Physics - Theory · Physics 2015-06-03 Pablo Alejandro Sánchez , Mariano Anabitarte , Mauricio Bellini

In induced gravity theory the solution of the dynamics equations for the test particle on null path leads to additional force in four-dimensional space-time. We find such force from five-dimensional geodesic line equations and try to apply…

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