The most general possible noninertial acceleration in special relativity is formulated with differential forms in the cotangent bundle. We show that the Lie derivative plays the same role in the cotangent bundle that the covariant derivative plays in the tangent bundle. We also show that a cotangent bundle analog of Fermi–Walker transport can be based upon the, ’’cotangent‐geodesic’’ equation, ℒuω=0. This gives a generalization of the work by Kiehn on classical Hamiltonian mechanics to special relativity.
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© 1980 American Institute of Physics.
1980
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