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Free keywords:
High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Phenomenology, hep-ph
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.