Euclidean spinor Green's functions in the spacetime of a straight cosmic string

Details Euclidean spinor Green's functions in the spacetime of a straight cosmic string Euclidean spinor Green's functions in the spacetime of a straight cosmic string

1994-12-19

arxiv.org/abs/gr-qc/9412050v1

J.Math.Phys. 36 (1995) 3694-3703

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, latex, no figures

Scientific paper

10.1063/1.530991

We determine generally the spinor Green's function and the twisted spinor Green's function in an Euclidean space with a conical-type line singularity. In particular, in the neighbourhood of the point source, we expree them as a sum of the usual Euclidean spinor Green's functin and a regular term. In four dimensions, we use these determinations to calculate the vacuum energy density and the twisted one for a massless spinor field in the spacetime of a straight cosmic string. In the Minkowski spacetime, we determine explicitly the vacuum energy density for a massive twisted spinor field.

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