Asymptotically flat gravitating spinor field solutions. Step 3 - Einstein-Dirac equations: cylindric case
arXiv:1104.0768
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 ansätze for spinor fields in order to zero some off-diagonal componentes of the spinor energy - momentum tensor.
the sign of the energy - momentum tensor of spinor is discussed