  The effects of general relativity (GR) on the hydrodynamics and neutrino
transport are examined during the critical shock reheating phase of core
collapse supernovae. We find that core collapse computed with GR hydrodynamics
results in a substantially more compact core structure out to the shock, the
shock radius at stagnation being reduced by a factor of 2. The inflow speed of
material behind the shock is also increased by a factor of 2 throughout most of
the evolution. We have developed a code for general relativistic multigroup
flux-limited diffusion (MGFLD) in static spacetimes and compared the
steady-state neutrino distributions for selected time slices of post-bounce
models with those computed with Newtonian MGFLD. The GR transport calculations
show the expected reductions in neutrino luminosities and rms energies from
redshift and curvature effects. Although the effects of GR on the hydrodynamics
and neutrino transport seem to work against shock revival, the core
configurations are sufficiently different that no firm conclusions can be
drawn, except that simulations of core collapse supernovae using Newtonian
hydrodynamics and transport are not realistic.
