Fermions without Vierbeins in Curved Space-Time

Details Fermions without Vierbeins in Curved Space-Time Fermions without Vierbeins in Curved Space-Time

2000-09-25

arxiv.org/abs/gr-qc/0009086v1

Phys.Rev. D63 (2001) 104010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, latex

Scientific paper

10.1103/PhysRevD.63.104010

A general formulation of spinor fields in Riemannian space-time is given without using vierbeins. The space-time dependence of the Dirac matrices required by the anticommutation relation {\gamma_{\mu},\gamma_{\nu}}=2g_{\mu\nu} determines the spin connection. The action is invariant under any local spin base transformations in the 32 parameter group Gl(4,c) and not just under local Lorentz transformations. The Dirac equation and the energy-momentum tensor are computed from the action.

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