Teleparallel Spin Connection

Details Teleparallel Spin Connection Teleparallel Spin Connection

2001-04-30

arxiv.org/abs/gr-qc/0104102v1

Phys.Rev. D64 (2001) 027502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

2 pages, RevTeX, to appear in Phys. Rev D (Brief Report)

Scientific paper

10.1103/PhysRevD.64.027502

A new expression for the spin connection of teleparallel gravity is proposed, given by minus the contorsion tensor plus a zero connection. The corresponding minimal coupling is covariant under local Lorentz transformation, and equivalent to the minimal coupling prescription of general relativity. With this coupling prescription, therefore, teleparallel gravity turns out to be fully equivalent to general relativity, even in the presence of spinor fields.

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