Abstract
Generalisations of Weyl's lemma are discussed. In order to secure the compatibility of the spinor field equations, the generalisations may not be arbitrary. It is shown that a contracted Weyl lemma must be valid. This lemma ‘saves’ the duality between the Lorentz covariant and the Einstein covariant representation of the equation of continuity. The meaning of Weyl's lemma and its generalisations is discussed in terms of the fibre bundle theory.
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Treder, HJ., Borzeszkowski, HH.V. On the compatibility of spinor field equations with regard to generalisations of Weyl's lemma. Int J Theor Phys 8, 219–225 (1973). https://doi.org/10.1007/BF00680233
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DOI: https://doi.org/10.1007/BF00680233