  We present a set of localized states for an even number of Dirac fermions
under Einsteinian gravity that have an infinite central redshift. Near the
center of the localized state the components of the Dirac spinor and the
spacetime metric all show simple power-law dependences on the radial distance;
further out the fermionic wave function decays to zero and the spacetime
becomes asymptotically flat. We show that this `central' solution of the
equations of motion can be used to understand much of the structure observed by
Finster, Smoller, and Yau [Phys. Rev. D 59, 104020 (1999)] in their numerical
solutions of the same problem at finite central redshift.
