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In Kaehler manifolds are investigated conformally flat totally real submanifolds, which are semiparallel or have semiparallel mean curvature vector.

Differential Geometry · Mathematics 2010-01-26 Ognian Kassabov

We study the effective gravitational couplings of four-dimensional Kaluza-Klein compactified gauge theories with eight supercharges. The class of theories we consider are the pure SU(N) Yang-Mills theories at admissible Chern-Simons levels…

High Energy Physics - Theory · Physics 2023-10-10 Sujay K. Ashok , Renjan Rajan John , T. J. Layon , Sujoy Mahato , Madhusudhan Raman

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

Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations which can be interpreted as the field equations and the stress-energy tensor. Unification of gravity with…

General Relativity and Quantum Cosmology · Physics 2015-05-18 S. Baskal , H. Kuyrukcu

We detail numerical methods to compute the geometry of static vacuum black holes in 6 dimensional gravity compactified on a circle. We calculate properties of these Kaluza-Klein black holes for varying mass, while keeping the asymptotic…

High Energy Physics - Theory · Physics 2009-11-10 Hideaki Kudoh , Toby Wiseman

Geometric sigma models are purely geometric theories of scalar fields coupled to gravity. Geometrically, these scalars represent the very coordinates of space-time, and, as such, can be gauged away. A particular theory is built over a given…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. Vasilic

In this brief review we discuss the viability of a multidimensional geometrical theory with one compactified dimension. We discuss the case of a Kaluza Klein fifth dimensional theory, addressing the problem by an overview of the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 D. Pugliese , G. Montani

It is shown that 5D Kaluza-Klein theory stabilized by an external bulk scalar field may solve the discrepant laboratory G measurements. This is achieved by an effective coupling between gravitation and the geomagnetic field. Experimental…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. P. Mbelek

Exceptional field theories yield duality-covariant formulations of higher-dimensional supergravity. They have proven to be an efficient tool for the construction of consistent truncations around various background geometries. In this paper,…

High Energy Physics - Theory · Physics 2020-11-18 Emanuel Malek , Henning Samtleben

When the gravitational Chern-Simons term is reduced from 3 to 2 dimensions, the lower dimensional theory supports a symmetry breaking solution and an associated kink. Kinks in general relativity bear a close relation to flat space kinks,…

High Energy Physics - Theory · Physics 2009-11-10 G. Guralnik , A. Iorio , R. Jackiw , S. -Y. Pi

We investigate five-dimensional vacuum solutions which represent rotating multi-black holes in asymptotically Kaluza-Klein spacetimes. We show that multi-black holes rotate maximally along extra dimension, and stationary configurations in…

High Energy Physics - Theory · Physics 2012-08-24 Ken Matsuno , Hideki Ishihara , Masashi Kimura , Takamitsu Tatsuoka

We present time-dependent analytic solutions to the Einstein equations coupled with a dilaton (scalar) field. The background geometry for the solutions is a product of an N-dimensional spherically symmetric space and a d-dimensional flat…

General Relativity and Quantum Cosmology · Physics 2019-04-09 Takuya Maki , Kiyoshi Shiraishi

We construct consistent Kaluza--Klein reductions of D=11 supergravity to four dimensions using an arbitrary seven-dimensional Sasaki--Einstein manifold. At the level of bosonic fields, we extend the known reduction, which leads to minimal…

High Energy Physics - Theory · Physics 2009-05-01 Jerome P. Gauntlett , Seok Kim , Oscar Varela , Daniel Waldram

We study the Kaluza-Klein dimensional reduction of the Lovelock-Cartan theory in five-dimensional spacetime, with a compact dimension of $S^1$ topology. We find cosmological solutions of the Friedmann-Robertson-Walker class in the reduced…

General Relativity and Quantum Cosmology · Physics 2016-12-19 Oscar Castillo-Felisola , Cristóbal Corral , Simón del Pino , Francisca Ramírez

The field equations of the recent nonlocal generalization of Einstein's theory of gravitation are presented in a form that is reminiscent of general relativity. The implications of the nonlocal field equations are studied in the case of…

General Relativity and Quantum Cosmology · Physics 2016-05-24 Donato Bini , Bahram Mashhoon

The cycle-preserving symmetries for the nine two-dimensional real spaces of constant curvature are collectively obtained within a Cayley-Klein framework. This approach affords a unified and global study of the conformal structure of the…

Mathematical Physics · Physics 2019-07-19 Francisco J. Herranz , Mariano Santander

This paper constructs continuously self-similar solution of a spherically symmetric gravitational collapse of a scalar field in n dimensions. The qualitative behavior of these solutions is explained, and closed-form answers are provided…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Andrei V. Frolov

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

We examine the Kaluza-Klein (KK) dimensional reduction from higher-dimensional space-time and the properties of the resultant Bergmann-Wagoner general action of scalar-tensor theories. With the analysis of the perturbations, we also…

High Energy Physics - Theory · Physics 2015-06-09 Kazuharu Bamba , Davood Momeni , Ratbay Myrzakulov

We classify homogeneous pseudo-Riemannian structures of a three-parameter family of metrics called Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime with their induced groups of isometries and reductive decompositions. We…

Differential Geometry · Mathematics 2026-02-24 Fumihiro Ueno