论文标题
中微子振荡在$ q $ - metric中
Neutrino oscillation in the $q$-metric
论文作者
论文摘要
我们在一般相对论的背景下，使用所谓的$ q $ metric研究了轴向对称时空领域中的中微子振荡。遵循标准方法，我们计算相移，以调用弱和强场极限和较小的变形。为此，我们将中子恒星，白矮人和超新星视为强烈的引力状态，而太阳系是弱田间制度。我们认为，由于Schwarschild时空导致，四极参数的包含导致了来自球形解决方案的众所周知结果的修改。因此，我们表明，在太阳系制度中，考虑到地球和太阳，检测与平坦情况的偏差的可能性较弱，与中子星和白矮星的情况不同，这种概率更大。因此，我们启发性地讨论了通过天体中微子手段来约束相移的自由参数的一些含义。在整个文本中，还讨论了宇宙学和未来空间实验的可能应用。
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.
