dorsal/arxiv
View SchemaSymmetries of particle motion
| Authors | Roy Maartens, David Taylor |
|---|---|
| Categories | |
| ArXiv ID | physics/9712019 |
| URL | https://arxiv.org/abs/physics/9712019 |
Abstract
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. The aim is to develop tools for the study of kinetic/ dynamical symmetries in relativistic particle motion. The transport lift unifies and generalises the various existing lifted vector fields, with clear geometric interpretations. We find the affine dynamical symmetries of free particle motion, and compare this to previous results and to the alternative concept of "matter symmetry".
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"abstract": "We define affine transport lifts on the tangent bundle by associating a\ntransport rule for tangent vectors with a vector field on the base manifold.\nThe aim is to develop tools for the study of kinetic/ dynamical symmetries in\nrelativistic particle motion. The transport lift unifies and generalises the\nvarious existing lifted vector fields, with clear geometric interpretations. We\nfind the affine dynamical symmetries of free particle motion, and compare this\nto previous results and to the alternative concept of \"matter symmetry\".",
"arxiv_id": "physics/9712019",
"authors": [
"Roy Maartens",
"David Taylor"
],
"categories": [
"math-ph",
"gr-qc",
"math.MP"
],
"title": "Symmetries of particle motion",
"url": "https://arxiv.org/abs/physics/9712019"
},
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