  Neutrinos are produced in cosmic accelerators, like active galactic nuclei
(AGNs), blazars, supernova (SN) remnants and gamma-ray bursts (GRBs). On their
way to the Earth they experience flavor-oscillations. The interactions of the
neutrinos coming from the source with other particles, e.g. intergalactic
primordial neutrinos or heavy-mass right-handed neutrinos, in their way to the
detector may transform the original wave packet in pointer states. This
phenomenon, known as decoherence, becomes important in the reconstruction of
processes at the source. In this work we study neutrino emission in short GRBs
by adopting the Fireshell Model. We consider $e^{-}e^{+}$-pair annihilation as
the main channel for neutrino production. We compare the properties of the
neutrino-flux with the characteristic photon-signal produced once the
transparency condition is reached. We study the effects of flavor-oscillations
and decoherence as neutrinos travel from the region near the black-hole (BH)
event-horizon outwards. We consider the source to be in thermal equilibrium,
and calculate energy distribution functions for electrons and neutrinos. To
compute the effects of decoherence we use a Gaussian model. In this scenario
the emitted electron-neutrinos transform into pointer states consisting of
$67.8\%$ electron-neutrinos and $32.2\%$ as a combination of mu and tau
neutrinos. We found that decoherence plays an important role in the evolution
of the neutrino wave packet, leading to the detected pointer states on Earth.
