Consistent coupling to Dirac fields in teleparallelism: Comment on ``Metric-affine approach to teleparallel gravity''

Physics

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Canonical Formalism, Lagrangians, And Variational Principles, Exact Solutions

Scientific paper

Contrary to the claim in a recent publication [Phys. Rev. D 67, 044016 (2003)], I explicitly demonstrate the consistency of the coupling of Dirac fields to the teleparallelism equivalent of general relativity. Moreover, it is pointed out that, in a metric-affine framework, a SL(4,R)-covariant generalization of the Dirac equation needs to be considered.

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