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Fallback in core-collapse supernovae (CCSNe) plays an important role indetermining the properties of the central compact remnants, which might producea black hole (BH) hyperaccretion system in the centre of a massive CCSN. Whenthe accretion rate is extremely high and neutrino cooling is dominant, thehyperaccretion should be in the phase of the neutrino-dominated accretion flows(NDAFs), and thus a large number of anisotropic MeV neutrinos will be launchedfrom the disc along with the strong gravitational waves (GWs). In this paper,we perform a series of one-dimensional CCSN simulations with the initialexplosion energy in the range of $2-8$ B (1 B = $10^{51}$ erg) to investigatethe fallback processes. By considering the evolution of the central BH mass andspin in the fallback accretion, we present the effects of the initial explosionenergies, masses and metallicities of the massive progenitor stars on thespectra of anisotropic MeV neutrinos and the waveform of GWs from NDAFs. Theseneutrino or GW signals might be detected by operational or future detectors,and the multimessenger joint detections could constrain the properties of CCSNeand progenitor stars.

Anisotropic neutrinos and gravitational waves from black hole neutrino-dominated accretion flows in fallback core-collapse supernovae