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

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.

Effects of gravitational lensing by Kaluza-Klein black holes on neutrino oscillations

“…A common conclusion reached in most of these works is the increased effective neutrino oscillation length due to gravitational redshift in curved spacetime backgrounds. Inspired from this, one more experimental test that has recently been proposed to potentially break the aforementioned degeneracies from future measurements is the observation of gravitational lensing of neutrinos by massive sources and the effect that it has on neutrino oscillations [55]. Of course, this kind of test is still out of reach from our present technological capabilities.…”

Neutrino flavor oscillations in a rotating spacetime

“…Effects like spin-flip or helicity transitions are also studied in a gravitational setup [17][18][19][20]. Further, the gravitational effects on neutrino oscillations have been investigated in various backgrounds [21][22][23][24][25][26][27][28]. Neutrino oscillations and effects on the beta reactions have been analyzed in the accelerated frames and in the contexts of modified theories of gravity and quintessence [29][30][31][32][33][34][35].…”

“…Moreover, nonplanar trajectories can now interfere with the other trajectories in a non-trivial manner, and likely to modify the neutrino flavor transition probabilities. One expects that these deviations would be more significant in the spacetime in which a gravitational object is highly distorted [28].…”

Testing black hole mimickers with the Event Horizon Telescope image of Sagittarius A$^*$

“…Various properties of this spacetime such as the global structure, shadows, strong lensing, motion of test particles, accretion disk properties etc. have been studied in the literature [13,15,[52][53][54][55][56][57][58][59][60][61][62]. Our aim in this paper is to study shadows of these objects and constrain the parameters r 0 and γ using Sgr A * observation.…”