Gravitational Lensing and Oscillations of Neutrinos in Yukawa Black Hole Spacetime
Samariddin Jalolov
1,*
,
Azamat Sharipov
1
1 Department of Physics, National University of Uzbekistan , University str. 4, Tashkent 100174, Uzbekistan
Abstract
We study gravitational lensing of neutrinos and the resulting flavor-oscillation probabilities in a Yukawa black hole spacetime, which introduces a Yukawa-type correction to the standard metric. Employing the plane-wave formalism in curved spacetime together with the weak-field approximation, we derive analytically the νe → νμ transition probability Pₑμˡᵉⁿˢ for the two distinct lensed paths and evaluate it numerically for astrophysically motivated parameters. The Yukawa correction enters the oscillation phase through three computable integrals and manifests as a systematic shift of oscillation peaks toward smaller azimuthal angles with increasing charge parameter, while leaving the oscillation amplitude essentially unchanged. The lens mass dominates the oscillation frequency: increasing the mass from 1.5 M⊙ to 9.0 M⊙ at a fixed charge raises the number of visible peaks in a given interval by a factor of approximately six. Furthermore, the normal mass hierarchy consistently yields peak transition amplitudes of Pₑμ ≈ 0.75, substantially larger than those observed for the inverted hierarchy.
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Jalolov, S. and Sharipov, A., Gravitational Lensing and Oscillations of Neutrinos in Yukawa Black Hole Spacetime, Turanian J. Vol. 2, No. 2 (020203), 2025.