标题： 中微子在$q$-度规中的振荡 显示英文标题

标题： Neutrino oscillation in the $q$-metric

摘要： 我们研究轴对称时空中的中微子振荡，采用所谓的$q$度规，在广义相对论的背景下。 按照标准方法，我们通过弱场和强场极限以及小变形来计算相位变化。 为此，我们将中子星、白矮星和超新星视为强引力区域，而太阳系则视为弱场区域。 我们认为，包含四极矩参数会导致由于施瓦茨希尔德时空的球对称解所得出的已知结果发生改变。 因此，我们表明在太阳系区域内，考虑地球和太阳时，检测到偏离平坦情况的弱概率，这与中子星和白矮星的情况不同，后者这种概率更大。 因此，我们通过天体物理中微子对相位变化的自由参数进行约束的一些含义进行了启发式的讨论。 文中还讨论了宇宙学的一些后果以及对未来空间实验的可能应用。 显示英文摘要

摘要： 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.