EFFECTS OF GRAVITATIONAL LENSING ON NEUTRINO OSCILLATION IN Γ-SPACETIME
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Date
2022
Authors
Chakrabarty, Hrishikesh
Borah, Debasish
Abdujabbarov, Ahmadjon
Malafarina, Daniele
Ahmedov, Bobomurat
Journal Title
Journal ISSN
Volume Title
Publisher
The European Physical Journal C
Abstract
We study the effects of gravitational lensing on neutrino oscillations in the 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 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 γ and the lightest neutrino mass while using best fit values of neutrino oscillation parameters.
Description
Keywords
Type of access: Open Access, gravitational lensing
Citation
Chakrabarty, H., Borah, D., Abdujabbarov, A., Malafarina, D., & Ahmedov, B. (2022). Effects of gravitational lensing on neutrino oscillation in $$ \gamma $$-spacetime. The European Physical Journal C, 82(1). https://doi.org/10.1140/epjc/s10052-021-09982-0