The Spacetime of a Dirac Fermion
arXiv:1102.3847 · doi:10.1016/j.physletb.2011.05.062
Abstract
We present an approximate solution to the minimally coupled Einstein-Dirac equations. We interpret the solution as describing a massive fermion coexisting with its own gravitational field. The solution is axisymmetric but is time dependent. The metric approaches that of a flat spacetime at the spatial infinity. We have calculated a variety of conserved quantities in the system.
arXiv comment14 pages, version to appear in journal
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