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Lessons of spin and torsion: Reply to “Consistent coupling to Dirac fields in teleparallelism”

2004/06/02 by Yu. N. Obukhov, J. G. Pereira
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.69.128502

published as Phys.Rev. D69 (2004) 128502 · Revtex, 4 pages, no figures

openalex publication_date 2004/06/02 · arxiv created 2004/06/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In reply to the criticism made by Mielke in the preceding Comment 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 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.

Citations