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Considering a massive or massless free spinor field propagating in a flat five dimensional space with its fifth dimension compactified either on a strip or on a circle, we analyse the procedure of generation of the four dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Fernand Grard , Jean Nuyts

The Kaluza-Klein reduction of the 3d gravitational Chern-Simons term to a 2d theory is equivalent to a Poisson-sigma model with fourdimensional target space and degenerate Poisson tensor of rank 2. Thus two constants of motion (Casimir…

High Energy Physics - Theory · Physics 2009-11-10 D. Grumiller , W. Kummer

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

In induced matter Kaluza-Klein 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…

General Relativity and Quantum Cosmology · Physics 2007-06-18 W. B. Belayev

We present the first examples of formally asymptotically flat black hole solutions with horizons of general lens space topology $L(p,q)$. These 5-dimensional static/stationary spacetimes are regular on and outside the event horizon for any…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Marcus A. Khuri , Jordan F. Rainone

In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetry guarantees that such…

High Energy Physics - Theory · Physics 2015-06-23 Matthew Buican , Takahiro Nishinaka

The purpose of this paper is to study the Kaluza-Klein universe in the context of the $f(R,T)$ gravity theory using magnetized strange quark matter (MSQM). To obtain exact solutions of field equations, we assume two types of volumetric…

General Relativity and Quantum Cosmology · Physics 2023-05-25 S. D. Katore , S. P. Hatkar , D. P. Tadas

The properties of gravitational kinks are studied within some simple models of two dimensional gravity. In spacetimes of cylindrical topology we prove the existence of kinks of constant curvature with arbitrary kink numbers. In $R^1\times…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Vasilic , T. Vukasinac

We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no…

Differential Geometry · Mathematics 2022-09-28 Frédéric Hélein

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

The Kaluza-Klein compactification in the limit of large number of extra dimensions is studied. Starting point is the Einstein-Hilbert action plus cosmological constant in 4+D dimensions. It is shown that in the large D limit the effective…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Fabrizio Canfora , Alex Giacomini , Alfonso R. Zerwekh

Kaluza-Klein theory is a 5-dimensional Einstein general relativity; it has the interest of describing on an equal footing the laws of gravitation and electromagnetism in a geometrically unified way. We present it in Chapter 1, and we…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Mustapha Azreg-Ainou

It has been suggested that quantum fluctuations of the gravitational field could give rise in the lowest approximation to an effective noncommutative version of Kaluza-Klein theory which has as extra hidden structure a noncommutative…

High Energy Physics - Theory · Physics 2015-06-26 J. Madore , J. Mourad , A. Sitarz

The vacuum Einstein equations in 5+1 dimensions are shown to admit solutions describing naked singularity formation in gravitational collapse from nonsingular asymptotically locally flat initial data that contain no trapped surface. We…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Xinliang An , Xuefeng Zhang

We propose in this paper a new approach to the Kaluza-Klein idea of a five dimensional space-time unifying gravitation and electromagnetism, and extension to higher-dimensional space-time. By considering a natural geometric definition of a…

General Relativity and Quantum Cosmology · Physics 2022-10-17 Stephane Collion , Michel Vaugon

Several recent papers have made considerable progress in proving the existence of remarkable consistent Kaluza-Klein sphere reductions of D=10 and D=11 supergravities, to give gauged supergravities in lower dimensions. A proof of the…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope

Using a generalised Killing-Yano equation in the presence of torsion, spacetime metrics admitting a rank-2 generalised Killing-Yano tensor are investigated in five dimensions under the assumption that its eigenvector associated with the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Tsuyoshi Houri , Kei Yamamoto

All the 2+1-dimensional circularly symmetric solutions with kinematic self-similarity of the second kind to the Einstein-massless-scalar field equations are found and their local and global properties are studied. It is found that some of…

General Relativity and Quantum Cosmology · Physics 2009-07-07 R. Chan , M. F. A. da Silva , J. F. Villas da Rocha , Anzhong Wang

This is a review of exceptional field theory: a generalisation of Kaluza-Klein theory that unifies the metric and $p$-form gauge field degrees of freedom of supergravity into a generalised or extended geometry, whose additional coordinates…

High Energy Physics - Theory · Physics 2024-10-22 David S. Berman , Chris D. A. Blair

Multiple scalar fields appear in vast modern particle physics and gravity models. When they couple to gravity non-minimally, conformal transformation is utilized to bring the theory into Einstein frame. However, the kinetic terms of scalar…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Yong Tang , Yue-Liang Wu