General theory of Lie derivatives for Lorentz tensors

Abstract

We show how the ad hoc prescriptions appeared in 2001 by Ortin for the Lie derivative of Lorentz tensors are a direct consequence of the Kosmann lift defined earlier in 1996 in a much more general setting encompassing older results of Y. Kosmann in 1971.

Typos corrected, references added, some application added. 11 pages

References in corpus (4)

• Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry
• Spacetime Lagrangian Formulation of Barbero-Immirzi Gravity
• On a Covariant Formulation of the Barbero-Immirzi Connection
• A note on Kosmann-Lie derivatives of Weyl spinors

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