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Lessons of spin and torsion: Reply to ``Consistent coupling to Dirac fields in teleparallelism"

Yu. N. Obukhov·J. G. Pereira
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Abstract

In reply to the criticism made by Mielke in the pereceding Comment [Phys. Rev. D69 (2004) 128501] on our recent paper, we once again explicitly demonstrate the inconsistency of the coupling of a Dirac field to gravitation in the teleparallel equivalent of general relativity. Moreover, we stress that the mentioned inconsistency is generic for {\it all} sources with spin and is by no means restricted to the Dirac field. In this sense the $SL(4,R)$-covariant generalization of the spinor fields in the teleparallel gravity theory is irrelevant to the inconsistency problem.

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Yu. N. Obukhov, J. G. Pereira. 2004-06-04. Lessons of spin and torsion: Reply to ``Consistent coupling to Dirac fields in teleparallelism". https://doi.org/10.1103/physrevd.69.128502

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