Rotation tensors and irrotational motions in Einstein-Riemann spaces.

Dominic G. B. Edelen

ResearchPublished 1963

An examination of the rotation and Fermi-rotation tensors of an arbitrary C vector field. The Fermi-rotation tensor is shown to be the natural generalization of the classic concept of a rotation tensor, and conditions are obtained under which the usually encountered rotation tensor gives the same measure as the Fermi tensor. The two are equivalent if and only if the motion generated by the vector field is geodesic in conformally related space-time. Explicit characterizations of irrotational and Fermi-irrotational motions are obtained. Necessary and sufficient conditions are derived for an Einstein-Riemann space to admit such motions

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  • Copyright: RAND Corporation
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  • Year: 1963
  • Print Format: Paperback
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  • Document Number: RM-3316-PR

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RAND Style Manual
Edelen, Dominic G. B., Rotation tensors and irrotational motions in Einstein-Riemann spaces. RAND Corporation, RM-3316-PR, 1963. As of October 10, 2024: https://www.rand.org/pubs/research_memoranda/RM3316.html
Chicago Manual of Style
Edelen, Dominic G. B., Rotation tensors and irrotational motions in Einstein-Riemann spaces. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3316.html. Also available in print form.
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