The collapse of an iron core to a neutron star and the subsequent
supernova explosion are among the greatest challenges in
computational astrophysics due to the complex interplay of
multi-dimensional hydrodynamics, neutrino transport, and
strong-field gravity. Due to the compactness of the newly-born
proto-neutron star and the occurrence of high velocities (up to
~0.3c), general relativity plays an important role in the
supernova engine. However, it has only recently become possible
to conduct multi-dimensional simulations of core-collapse
supernovae with both general relativity and sophisticated
neutrino transport included. In this poster, we present results
from these relativistic explosion simulations, and discuss the
implied effects of general relativity on the explosion dynamics
as well as on the neutrino and gravitational wave signal
from the supernova core.