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arxiv: 1104.0768 · v2 · pith:G5J24SUBnew · submitted 2011-04-05 · 🌀 gr-qc

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

classification 🌀 gr-qc
keywords equationsspinoreinstein-diraccasefieldsgravitatingobtainasymptotically
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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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