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

Abstract

We study the effects of gravitational lensing on neutrino oscillations in the $\gamma$-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-flavor 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 $\gamma$ on neutrino oscillations and reproduce previously known results for the Schwarzschild metric. We then extend these to a more realistic three flavors neutrino scenario and study the effects of the parameter $\gamma$ and the lightest neutrino mass while using best fit values of neutrino oscillation parameters.

arXiv comment17 pages, 10 figures. Comments welcome. This version is accepted for publication at EPJC

References in corpus (40)

• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• 2020 Global reassessment of the neutrino oscillation picture
• QUANTUM FIELD THEORY OF FERMION MIXING
• Neutrino oscillations in curved spacetime: an heuristic treatment
• Gravitationally Induced Neutrino-Oscillation Phases
• Multi-Messenger Astrophysics
• Circular geodesics and accretion disks in Janis-Newman-Winicour and Gamma metric
• Black hole mimicker hiding in the shadow: Optical properties of the $\gamma$-metric
• The exact formula for neutrino oscillations
• Gravitational Effects on the Neutrino Oscillation
• Neutrino Oscillations in Strong Gravitational Fields
• Flavor Oscillations from a Spatially Localized Source: A Simple General Treatment
• Neutrino optics and oscillations in gravitational fields
• Spinning test particles in the $\gamma$ spacetime
• Motion of test particles in the field of a naked singularity
• Comment on "Gravitationally Induced Neutrino-Oscillation Phases"
• Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime
• The non-integrability of the Zipoy-Voorhees metric
• Neutrino oscillations in extended theories of gravity
• Neutrinos in curved spacetimes: particle mixing and flavor oscillations
• Neutrino flavor oscillations in a curved space-time
• Non-spherical sources of static gravitational fields: investigating the boundaries of the no-hair theorem
• Neutrino Interferometry In Curved Spacetime
• The Levi-Civita spacetime as a limiting case of the Gamma spacetime
• Aspects of Neutrino Oscillation in Alternative Gravity Theories
• Time-energy uncertainty relation for neutrino oscillations in curved spacetime
• Unattainable extended spacetime regions in conformal gravity
• Neutrino spin oscillations in external fields in curved spacetime
• Signature of neutrino mass hierarchy in gravitational lensing
• Some Remarks on the Neutrino Oscillation Phase in a Gravitational Field
• Black hole interference patterns in flavour oscillations
• Axially symmetric static sources of gravitational field
• Revisiting the quantum field theory of neutrino oscillations in vacuum
• Neutrino oscillations in gravitational and cosmological backgrounds
• Neutrino Oscillations in Gravitational Field
• Neutrino oscillations in the field of a rotating deformed mass
• Three-generation neutrino oscillations in curved spacetime
• Neutrino oscillation in the $q$-metric
• Constraining Alternative Gravity Theories Using The Solar Neutrino Problem
• Neutrino oscillations in Kerr-Newman space-time

Cited by in corpus (13)

• Testing black hole mimickers with the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Influence of a Kalb-Ramond black hole on neutrino behavior
• Three parameter metrics in the presence of a scalar field in four and higher dimensions
• Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole
• Neutrino flavor oscillations in a rotating spacetime
• A class of rotating metrics in the presence of a scalar field
• A class of Taub-NUT-scalar metrics via Ehlers transformations
• A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations
• Periodic orbits and their gravitational wave radiations in $\gamma$-metric
• The neutrino flavor oscillations in the static and spherically symmetric black-hole-like wormholes
• Effects of bumblebee gravity on neutrino motion
• Gravitational effects on neutrino decoherence in Lense-Thirring metric
• A comment on lepton mixing