Abstract
AbstractWe study the effects of gravitational lensing on neutrino oscillations in the $$\gamma $$
γ
-spacetime which describes a static, axially-symmetric and asymptotically flat solution of the Einstein’s field equations in vacuum. Using the quantum-mechanical treatment for relativistic neutrinos, we calculate the phase of neutrino oscillations in this spacetime by considering both radial and non-radial propagation. We show the dependence of the oscillation probability on the absolute neutrino masses, which in the two-flavour case also depends upon the sign of mass squared difference, in sharp contrast with the well-known results of vacuum oscillation in flat spacetime. We also show the effects of the deformation parameter $$\gamma $$
γ
on neutrino oscillations and reproduce previously known results for the Schwarzschild metric. We then extend these to a more realistic three flavours neutrino scenario and study the effects of the parameter $$\gamma $$
γ
and the lightest neutrino mass while using best fit values of neutrino oscillation parameters.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference58 articles.
1. P.A. Zyla et al. (Particle Data Group), PTEP 2020, 083C01 (2020)
2. I. Esteban, M.C. Gonzalez-Garcia, M. Maltoni, T. Schwetz, A. Zhou, JHEP 09, 178 (2020). arXiv:2007.14792
3. P.F. de Salas, D.V. Forero, S. Gariazzo, P. Martínez-Miravé, O. Mena, C.A. Ternes, M. Tórtola, J.W.F. Valle, JHEP 02, 071 (2021). arXiv:2006.11237
4. M. Aker et al. (KATRIN), Phys. Rev. Lett. 123, 221802 (2019). arXiv:1909.06048
5. N. Aghanim et al. (Planck) (2018). arXiv:1807.06209
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献