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Asymptotically flat gravitating spinor field solutions. Step 3 - Einstein-Dirac equations: cylindric case
Published 5 Apr 2011 in gr-qc | (1104.0768v2)
Abstract: 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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