Asymptotically flat gravitating spinor field solutions. Step 3 - Einstein-Dirac equations: cylindric case

Details Asymptotically flat gravitating spinor field solutions. Step 3 - Einstein-Dirac equations: cylindric case Asymptotically flat gravitating spinor field solutions. Step 3 - Einstein-Dirac equations: cylindric case

2011-04-05

arxiv.org/abs/1104.0768v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

the sign of the energy - momentum tensor of spinor is discussed

Scientific paper

Einstein-Dirac equations for two spinor fields are considered. It is shown
that in this case one can obtain self-consistent equations set for these
gravitating spinors. The key idea to obtain Einstein-Dirac equations is to use
special ans\"atze for spinor fields in order to zero some off-diagonal
componentes of the spinor energy - momentum tensor.

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