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Group contraction is an algebraic map that relates two classes of Lie groups by a limiting process. We utilize this notion for the compactification of the class of Cartan motion groups. The compactification process is then applied to reduce…

Optimization and Control · Mathematics 2017-12-11 Onur Ozyesil , Nir Sharon , Amit Singer

We apply CGHS-type dilaton gravity model to (1+1)-dimensional cosmological situations. First the behavior of a compact 1-dimensional universe (i.e. like a closed string) is classified on the assumption of homogeneity of universe. Several…

High Energy Physics - Theory · Physics 2008-11-26 Takashi Mishima , Akika Nakamichi

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

We study five-dimensional Yang-Mills theories compactified on an S^1/Z_2 orbifold. The fundamental Lagrangian naturally includes brane kinetic terms at the orbifold fixed points which are induced by quantum corrections of the bulk fields.…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Nilse

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

It has recently been shown explicitly that the high-energy scattering amplitude of the longitudinal modes of massive spin-2 Kaluza Klein states in compactified 5-dimensional gravity, which would naively grow like O(s^5), grow only like…

High Energy Physics - Phenomenology · Physics 2019-12-25 R. Sekhar Chivukula , Dennis Foren , Kirtimaan A Mohan , Dipan Sengupta , Elizabeth H. Simmons

Efforts have been made recently to reformulate traditional Kaluza-Klein theory by using a generalized definition of a higher-dimensional extended space-time. Both electromagnetism and gravity have been studied in this context. We review…

High Energy Physics - Theory · Physics 2007-05-23 J. Madore , J. Mourad

The Einstein field equations can be derived in $n$ dimensions ($n>2$) by the variations of the Palatini action. The Killing reduction of 5-dimensional Palatini action is studied on the assumption that pentads and Lorentz connections are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 You Ding , Yongge Ma , Muxin Han , Jianbing Shao

We include alignment interactions in a well-studied first-order attractive-repulsive macroscopic model for aggregation. The distinctive feature of the extended model is that the equation that specifies the velocity in terms of the…

Analysis of PDEs · Mathematics 2016-06-22 Razvan C. Fetecau , Weiran Sun , Changhui Tan

We study M-theory compactification on ${\mathbb{T}^7/ \mathbb{Z}_2^3}$ in the presence of a seven-flux, metric fluxes and KK monopoles. The effective four-dimensional supergravity has seven chiral multiplets whose couplings are specified by…

High Energy Physics - Theory · Physics 2020-03-16 Niccolò Cribiori , Renata Kallosh , Andrei Linde , Christoph Roupec

Invariant connections with torsion on simple group manifolds $S$ are studied and an explicit formula describing them is presented. This result is used for the dimensional reduction in a theory of multidimensional gravity with curvature…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Yu. A. Kubyshin , V. O. Malyshenko , D. Marin Ricoy

We develop a type of Kaluza-Klein formalism in $(4+4)$-dimensions. In the framework of this formalism we obtain a new kind of Schwarzschild metric solutions that via Kruskal-Szequeres can be interpreted as mirror black and white holes. We…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Juan Antonio Nieto , José Edgar Madriz Aguilar

Recently it has been pointed out that the characteristic quantum-gravity scale could be as low as the weak scale in theories with gravity propagating in higher dimensions. The observed smallness of Newton's constant is a consequence of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gian F. Giudice , Riccardo Rattazzi , James D. Wells

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

High Energy Physics - Theory · Physics 2023-03-29 Qi-Yuan Mao , H. Lu

In this paper we present a solution for Kaluza-Klein magnetic monopole in a five-dimensional global monopole spacetime. This new solution is a generalization of previous ones obtained by D. Gross and M. Perry (Nucl. Phys. B {\bf 226}, 29…

High Energy Physics - Theory · Physics 2009-11-10 A. L. Cavalcanti de Oliveira , E. R. Bezerra de Mello

We study static vortex type solutions of pure gravity for $D \geq 4+1 $. Non-singular vortex solutions can be obtained by considering periodic Kaluza-Klein monopoles. We also show that away from the center of the vortices the space is…

High Energy Physics - Theory · Physics 2009-10-31 Vakif K. Onemli , Bayram Tekin

We analyze the single subleading soft graviton theorem in $(d+1)$ dimensions under compactification on $S^1$. This produces the single soft theorems for the graviton, vector and scalar fields in $d$ dimension. For the compactification of…

High Energy Physics - Theory · Physics 2020-03-18 Raffaele Marotta , Mritunjay Verma

In this paper we consider the Kaluza-Klein fields equations in presence of a generic 5D matter tensor which is governed by a conservation equation due to 5D Bianchi identities. Following a previous work, we provide a consistent approach to…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Valentino Lacquaniti , Giovanni Montani

The present work is the second part of a series of computations for the self-mass-squared of the conformally coupled (CC) scalar interacting with gravitons. This work includes the kinetic-kinetic and kinetic-conformal parts, and thus…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Sibel Boran , Emre Onur Kahya , Sohyun Park

A fourth-order compact scheme is proposed for a fourth-order subdiffusion equation with the first Dirichlet boundary conditions. The fourth-order problem is firstly reduced into a couple of spatially second-order system and we use an…

Numerical Analysis · Mathematics 2019-07-04 Jialing Zhong , Hong-lin Liao , Bingquan Ji , Luming Zhang