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arxiv: 1102.3847 · v2 · pith:MBVZER6Gnew · submitted 2011-02-18 · ✦ hep-th · gr-qc· hep-ph

The Spacetime of a Dirac Fermion

classification ✦ hep-th gr-qchep-ph
keywords solutionfermionspacetimeapproachesapproximateaxisymmetriccalculatedcoexisting
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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.

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