Massive spinor fields in flat spacetimes with non-trivial topology

Details Massive spinor fields in flat spacetimes with non-trivial topology Massive spinor fields in flat spacetimes with non-trivial topology

2004-12-30

arxiv.org/abs/gr-qc/0412133v2

Phys.Rev.D71:104012,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, Some of the equations in section VI as well as typographical errors corrected, 5 figures, Revtex4

Scientific paper

10.1103/PhysRevD.71.104012

The vacuum expectation value of the stress-energy tensor is calculated for spin $1\over 2$ massive fields in several multiply connected flat spacetimes. We examine the physical effects of topology on manifolds such as $R^3 \times S^1$, $R^2\times T^2$, $R^1 \times T^3$, the Mobius strip and the Klein bottle. We find that the spinor vacuum stress tensor has the opposite sign to, and twice the magnitude of, the scalar tensor in orientable manifolds. Extending the above considerations to the case of Misner spacetime, we calculate the vacuum expectation value of spinor stress-energy tensor in this space and discuss its implications for the chronology protection conjecture.

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