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Journal ArticleDOI

Lagrangian theory of the motion of spinning particles in torsion gravitational theories

Sergio A. Hojman
- 15 Oct 1978 - 
- Vol. 18, Iss: 8, pp 2741-2744
TLDR
In this article, the second-order differential equations of motion of spinning test particles (tops) were derived from a variational principle in a given gravitational background defined by a Riemannian metric and a torsion tensor.
Abstract
The (second-order differential) equations of motion of spinning test particles (tops) are derived from a variational principle in a given gravitational background defined by a Riemannian metric and a torsion tensor. The mass and (magnitude of) the spin of the top are conserved. There exists a Regge trajectory linking the mass and the spin of the top. Constants of the motion associated with Killing vectors of the metric along which the Lie derivative of the torsion tensor vanish are found.

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Journal ArticleDOI

Spinning test particles in a Kerr field – II

TL;DR: In this article, a minimal world tube is introduced to judge the individual supplementary spin conditions and expose the limitations of the pole-dipole approximation, and the effect of spin-curvature interaction by comparing trajectories obtained for various spin magnitudes.
Book ChapterDOI

Four lectures on Poincare gauge field theory

TL;DR: In this paper, a consistent formalism is developed allowing an appropriate gauging of the Poincare group, and the physical laws are formulated in terms of points, orthonormal tetrad frames, and components of the matter fields with respect to these frames.
Journal ArticleDOI

Constraining Torsion with Gravity Probe B

TL;DR: In this paper, it is shown that torsion can be generated by macroscopic rotating objects and can be tested experimentally using a gyroscope (without nuclear spin) such as Gravity Probe B (GPB).
Journal ArticleDOI

On the Kinematics of the Torsion of Space-time

TL;DR: In this paper, the authors argue that, on a more microscopic level, in the Compton wavelength regime of elementary particles, there are good reasons for suspecting the presence of a torsion of space-time.
Journal ArticleDOI

Can gravity probe B usefully constrain torsion gravity theories

TL;DR: In this article, a generalization of the Hayashi-Shirafuji theory, called the EH theory, was proposed, which does not predict a detectable torsion signal for Gravity Probe B.
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