Gravitational lensing of neutrinos in the Rezzolla-Zhidenko spacetime

TL;DR

This paper studies how the Rezzolla-Zhidenko spacetime affects gravitational lensing of neutrinos, revealing that metric deformation parameters influence oscillation probabilities but not decoherence length.

Contribution

It introduces an analysis of neutrino lensing in Rezzolla-Zhidenko spacetime and examines the impact of metric parameters on neutrino oscillations and decoherence.

Findings

Deformation parameters significantly affect neutrino oscillation probabilities.

Rezzolla-Zhidenko metric parameters do not significantly influence decoherence length.

The study applies weak-field and plane-wave approximations to a hypothetical solar-mass system.

Abstract

We consider gravitational lensing of neutrinos in the Rezzolla-Zhidenko spacetime in the weak-field limit with plane-wave approximation. We apply the analysis to an hypothetical system with a central object with its mass of the order of solar mass and a detector located at an Earth-like distance from the source. We find that the deformation parameters of the Rezzolla-Zhidenko metric can have significant impact on the oscillation probabilities of the neutrinos. We also investigate the role of decoherence on flavor oscillations of the lensed neutrinos and show that the parameters of the Rezzolla-Zhidenko metric does not have significant effects on the decoherence length.