Аннотации:
We investigate neutrino oscillation in the field of
an axially symmetric space-time, employing the so-called
q-metric, in the context of general relativity. Following the
standard approach, we compute the phase shift invoking
the weak and strong field limits and small deformation. To
do so, we consider neutron stars, white dwarfs and supernovae as strong gravitational regimes whereas the solar system as weak field regime. We argue that the inclusion of
the quadrupole parameter leads to the modification of the
well-known results coming from the spherical solution due
to the Schwarschild space-time. Hence, we show that in the
solar system regime, considering the Earth and Sun, there
is a weak probability to detect deviations from the flat case,
differently from the case of neutron stars and white dwarfs
in which this probability is larger. Thus, we heuristically discuss some implications on constraining the free parameters
of the phase shift by means of astrophysical neutrinos. A
few consequences in cosmology and possible applications
for future space experiments are also discussed throughout
the text.