Effects of gravitational lensing on neutrino oscillation in $$ \gamma $$ γ -spacetime

• Published in: The European physical journal. C, Particles and fields Vol. 82; no. 1; pp. 1 - 15
• Main Authors: Hrishikesh Chakrabarty, Debasish Borah, Ahmadjon Abdujabbarov, Daniele Malafarina, Bobomurat Ahmedov
• Format: Journal Article
• Language: English
• Published: SpringerOpen 01-01-2022
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-021-09982-0

Abstract We 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.