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

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

2004-06-04

arxiv.org/abs/gr-qc/0406015v1

Phys.Rev. D69 (2004) 128502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 4 pages, no figures

Scientific paper

10.1103/PhysRevD.69.128502

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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