Geodesic
General theory of Lie derivatives for Lorentz tensors
Communications in Mathematics, Tome 19 (2011) no. 1, pp. 11-25.

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We show how the ad hoc prescriptions appearing in 2001 for the Lie derivative of Lorentz tensors are a direct consequence of the Kosmann lift defined earlier, in a much more general setting encompassing older results of Y. Kosmann about Lie derivatives of spinors.
Classification : 14D21, 15A66, 22E70
Keywords: Lie derivative of spinors; Kosmann lift; Lorentz objects 
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Fatibene, Lorenzo; Francaviglia, Mauro. General theory of Lie derivatives for Lorentz tensors. Communications in Mathematics, Tome 19 (2011) no. 1, pp. 11-25. http://geodesic.mathdoc.fr/item/COMIM_2011__19_1_a1/