Torsional dipoles

1988 ◽  
Vol 66 (4) ◽  
pp. 338-340
Author(s):  
M. D. Roberts
Keyword(s):  
Differential Equations ◽  
Electric Field ◽  
Symmetric Space ◽  
Electric Dipole ◽  
Gravitational Theory ◽  
Field Tensor ◽  
Axially Symmetric ◽  
Dipole Structure

An attempt is made to introduce dipole structure into gravitational theory. We do this by trying to produce torsion tensors with the same form as the electric-field tensor for an electric dipole. First, we construct Ricci tensors for space-times with vanishing Christoffel connections. Then we discuss the conditions to put on the tensors. Each condition gives differential equations; however, none of the solutions provides an entirely satisfactory dipole structure. Finally, we briefly discuss how to "force" axially symmetric space-times having dipole structure.

scholarly journals Динамика фотоиндуцированного вращения сферической частицы в постоянном электрическом поле

2019 ◽  
Vol 89 (1) ◽  
pp. 5
Author(s):  
А.И. Грачев
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Dipole Moments ◽  
Constant Electric Field ◽  
Rotation Effect ◽  
General Terms ◽  
Nonspherical Shape ◽  
Rotation Dynamics

AbstractThe rotation of a spherical particle in a constant electric field (an effect found earlier) has been analyzed. The particle is illuminated to induce the electric dipole moment of the sphere. The dynamics of the rotation effect has been considered in general terms to refine conditions for adiabatic rotation. The features of the particle’s nonadiabatic rotation have been demonstrated with a sphere placed in a medium with an infinitesimal viscosity. It has been shown that the nonadiabatic rotation dynamics to a great extent depends on a relationship between the electrical and photoinduced dipole moments of the sphere. The rotation dynamics of a particle with a slightly nonspherical shape has been briefly analyzed.

scholarly journals Передача крутящего момента проводящей частице с использованием силы Лоренца

2022 ◽  
Vol 56 (1) ◽  
pp. 76
Author(s):  
А.И. Грачев
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Field Application ◽  
Conductive Particle ◽  
Particle Rotation ◽  
Dc Electric Field ◽  
First Time ◽  
Cylindrical Particles

In the paper the concept of conductive particle rotation in DC electric field with including the Lorentz force providing generation of electric dipole moment of the particle is for the first time discussed. Some models of the torque transfer to spherical and cylindrical particles based on of the Hall effect at usual geometry and with additional electric field application and also in the case of implementation of the photoelectromagnetic effect are presented.

Harmonic Spinors on Hyperbolic Space

1993 ◽  
Vol 36 (3) ◽  
pp. 257-262 ◽  
Author(s):  
Pierre-Yves Gaillard
Keyword(s):  
Differential Equations ◽  
Symmetric Space ◽  
Representation Theory ◽  
Hyperbolic Space ◽  
Harmonic Functions ◽  
Short Note ◽  
Harmonic Forms ◽  
Semisimple Symmetric Space ◽  
Invariant Differential ◽  
Harmonic Spinors

AbstractThe purpose for this short note is to describe the space of harmonic spinors on hyperbolicn-spaceHn. This is a natural continuation of the study of harmonic functions onHnin [Minemura] and [Helgason]—these results were generalized in the form of Helgason's conjecture, proved in [KKMOOT],—and of [Gaillard 1, 2], where harmonic forms onHnwere considered. The connection between invariant differential equations on a Riemannian semisimple symmetric spaceG/Kand homological aspects of the representation theory ofG, as exemplified in (8) below, does not seem to have been previously mentioned. This note is divided into three main parts respectively dedicated to the statement of the results, some reminders, and the proofs. I thank the referee for having suggested various improvements.

scholarly journals A Simple Approximation for Axially Symmetric Diffraction of Plane Shocks by Cones

1984 ◽  
Vol 39 (4) ◽  
pp. 320-324 ◽  
Author(s):  
Shanbing Yu ◽  
Hans Grönig
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Simple Approximation ◽  
Axially Symmetric ◽  
Circular Arcs ◽  
Shock Dynamics

By Whitham’s shock dynamics, axially symmetric diffraction problems of plane shocks by cones are reduced to the integration of a system of ordinary differential equations. This paper gives a simpler approach. Approximating the Mach stems by circular arcs, the problems are reduced to the solution of algebraical equations, and the calculating is much simplified. In the cases of small or large cone angles the estimation is even easier.

scholarly journals Numerical relativity forDdimensional axially symmetric space-times: Formalism and code tests

2010 ◽  
Vol 81 (8) ◽  
Author(s):  
Miguel Zilhão ◽  
Helvi Witek ◽  
Ulrich Sperhake ◽  
Vitor Cardoso ◽  
Leonardo Gualtieri ◽  
...  
Keyword(s):  
Symmetric Space ◽  
Numerical Relativity ◽  
Axially Symmetric
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