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This paper addresses the floating body problem which consists in studying the interaction of surface water waves with a floating body. We propose a new formulation of the water waves problem that can easily be generalized in order to take…

Analysis of PDEs · Mathematics 2016-09-21 David Lannes

We study the effect of compact extra dimensions on the gravitational wave luminosity and waveform. We consider a toy model, with a compactified fifth dimension, and matter confined on a brane. We work in the context of five dimensional…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Yuchen Du , Shammi Tahura , Diana Vaman , Kent Yagi

We use experimental limits on Lorentz violation to obtain new constraints on Kaluza-Klein-type theories in which the extra dimensions may be large but do not necessarily have units of length. The associated variation in fundamental…

High Energy Physics - Phenomenology · Physics 2016-07-18 James M. Overduin , Hamna Ali

We investigate excitation of Kaluza-Klein modes due to the parametric resonance caused by oscillation of radius of compactification. We consider a gravitational perturbation around a D-dimensional spacetime, which we compactify on a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kunihito Uzawa , Yoshiyuki Morisawa , Shinji Mukohyama

The Klein-Gordon system describing three scalar particles without interaction is cast into a new form, by transformation of the momenta. Two redundant degrees of freedom are eliminated; we are left with a covariant equation for a reduced…

High Energy Physics - Theory · Physics 2011-07-19 Ph. Droz-Vincent

Recently, multi-graviton theory on a simple closed circuit graph corresponding to the $S^1$ compactification of the Kaluza-Klein (KK) theory has been considered. In the present paper, we extend this theory to that on a general graph and…

General Relativity and Quantum Cosmology · Physics 2008-01-18 Teruki Hanada , Kazuhiko Shinoda , Kiyoshi Shiraishi

Geometrization of the fundamental interactions has been extensively studied during the century. The idea of introducing compactified spatial dimensions originated by Kaluza and Klein. Following their approach, several model were built…

General Relativity and Quantum Cosmology · Physics 2015-09-25 Gergely Gábor Barnaföldi , Szilvia Karsai , Béla Lukács , Péter Pósfay

Theories with extra dimensions of inverse TeV size (or larger) predict a multitude of signals which can be searched for at present and future colliders. In this paper, we review the different phenomenological signatures of a particular…

High Energy Physics - Phenomenology · Physics 2009-11-11 Cosmin Macesanu

We consider Randall-Sundrum model with localized gravity, replacing the extra compact space-like dimension by a time-like one. In this way the solution to the hierarchy problem can be reconciled with a correct cosmological expansion of the…

High Energy Physics - Theory · Physics 2009-10-31 Masud Chaichian , Archil B. Kobakhidze

We use local counterterm prescriptions for asymptotically flat space to compute the action and conserved quantities in five-dimensional Kaluza-Klein theories. As an application of these prescriptions we compute the mass of the Kaluza-Klein…

High Energy Physics - Theory · Physics 2008-11-26 Robert B. Mann , Cristian Stelea

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 consider Kaluza-Klein models where internal spaces are compact flat or curved Einstein spaces. This background is perturbed by a compact gravitating body with the dust-like equation of state (EoS) in the external/our space and an…

General Relativity and Quantum Cosmology · Physics 2018-01-25 Ozgur Akarsu , Alexey Chopovsky , Alexander Zhuk

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

Five dimensional model with extended dimensions investigated. It is shown that four dimensionality of our world is the result of stability requirement. Extra component of Einstein equations giving trapping solution for matter fields…

High Energy Physics - Phenomenology · Physics 2009-10-31 Merab Gogberashvili

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

5D Kaluza-Klein gravity has several nonasymptotically flat solutions which generally, possessed both electric and magnetic charges. In this paper we suggest that these solutions can act as quantum virtual handles (wormholes) in spacetime…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. Dzhunushaliev , D. Singleton

We consider compactification of extra dimensions and numerically calculate Casimir energy which is provided by the mass of Kaluza-Klein modes. For the extra space we consider a torus with shape moduli and show that the corresponding vacuum…

High Energy Physics - Theory · Physics 2009-11-10 Satoshi Matsuda , Shigenori Seki

We study scenarios in which there is a hierarchy of two sets of large compactified extra dimensions. One particularly interesting case has a single millimeter size extra dimension and five TeV^{-1} size dimensions. The Standard Model gauge…

High Energy Physics - Phenomenology · Physics 2009-10-31 Joseph Lykken , Satyanarayan Nandi

In models featuring extra spatial dimensions, particle collisions in the early universe can produce Kaluza-Klein gravitons. Such particles will later decay, potentially impacting the process of Big Bang nucleosynthesis. In this paper, we…

High Energy Physics - Phenomenology · Physics 2024-07-11 Mathieu Gross , Dan Hooper

We study the quantum cosmology of a five dimensional non-compactified Kaluza-Klein theory where the 4D metric depends on the fifth coordinate, $x^4\equiv l$. This model is effectively equivalent to a 4D non-minimally coupled dilaton field…

General Relativity and Quantum Cosmology · Physics 2009-10-31 F. Darabi , W. N. Sajko , P. S. Wesson