Lifted transformations on the tangent bundle, and symmetries of particle motion

Journal Article · Fri Jan 01 00:00:00 EST 1993 · International Journal of Theoretical Physics; (United States)

DOI:https://doi.org/10.1007/BF00674402· OSTI ID:6787060

Maartens, R; Taylor, D R ^[1]

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1. Univ. of the Witwatersrand (South Africa)

We define affine transport lifts on the tangent bundle by associating a transport rule for tangent vectors with a vector field on the base manifold. Our aim is to develop tools for the study of kinetic/dynamic symmetries in particle motion. The new lift unifies and generalizes all the various existing lifted vector fields, with clear geometric interpretations. In particular, this includes the important but little-known matter symmetries of relativistic kinetic theory. We find the affine dynamical symmetries of general relativistic charged particle motion, and we compare this to previous results and to the alternative concept of matter symmetry.

• OSTI ID: 6787060
• Journal Information: International Journal of Theoretical Physics; (United States), Vol. 32:1; ISSN 0020-7748
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PARTICLE KINEMATICS
RELATIVITY THEORY
SYMMETRY
VECTOR FIELDS
TRANSFORMATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
662120* - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)