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We present results from general-relativistic (GR) three-dimensional (3D)core-collapse simulations with approximate neutrino transport for threenon-rotating progenitors (11.2, 15, and 40 Msun) using different nuclearequations of state (EOSs). We find that the combination of progenitor's highercompactness at bounce and the use of softer EOS leads to stronger activity ofthe standing accretion shock instability (SASI). We confirm previouspredications that the SASI produces characteristic time modulations both inneutrino and gravitational-wave (GW) signals. By performing a correlationanalysis of the SASI-modulated neutrino and GW signals, we find that thecorrelation becomes highest when we take into account the time-delay effect dueto the advection of material from the neutrino sphere to the proto-neutron starcore surface. Our results suggest that the correlation of the neutrino and GWsignals, if detected, would provide a new signature of the vigorous SASIactivity in the supernova core, which can be hardly seen if neutrino-convectiondominates over the SASI.

Correlated Signatures of Gravitational-Wave and Neutrino Emission in Three-Dimensional General-Relativistic Core-Collapse Supernova Simulations