Neutrino flavor oscillations in a rotating spacetime

Abstract

We study neutrino oscillations in a rotating spacetime under the weak gravity limit for the trajectories of neutrinos which are constrained in the equatorial plane. Using the asymptotic form of the Kerr metric, we show that the rotation of the gravitational source non-trivially modifies the neutrino phase. We find that the oscillation probabilities deviate significantly from the corresponding results in the Schwarzschild spacetime when neutrinos are produced near the black hole (still in the weak-gravity limit) with non-zero angular momentum and detected on the same side, i.e., the non-lensed neutrino. Moreover, for a given gravitational body and geometric parameters, there exists a distance scale for every energy scale (and vice versa), after which the rotational contribution in the neutrino phase becomes significant. Using the sun-sized gravitational body in the numerical analysis of the one-sided neutrino propagation, we show that even a small rotation of the gravitational object can significantly change the survival or appearance events of a neutrino flavor registered by the detector, which is located on the earth. These effects are expected to be prominent for cosmological/astrophysical scenarios where neutrinos travel past by many (rotating) gravitational bodies and for large distances. Thus rotational effects of all such bodies must be incorporated in analyzing oscillations data.

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

“…In our analysis we focused on the non rotating case, however for non vanishing spin parameter we would expect that the effects of (slow) rotation, at least to lowest order, would be similar to what happens in the Kerr case, as discussed for example in [86].…”

Neutrino oscillations in the Non-Kerr black hole with quantum phenomenon*

“…Notably, both radial and nonradial propagations of neutrinos in the Schwarzschild spacetime have been examined [16]. Finally, the effects of universe expansion and torsion on neutrino oscillations have also been studied [17]. The mass hierarchy of neutrinos refers to how the three types of neutrinos are arranged in terms of their relative sizes.…”

“…These studies have demon-strated that the gravitational field can modify the oscillation probability, leading to potentially observable consequences. Examination of neutrino oscillation in curved spacetime is an active area of research with significant implications for astrophysics and cosmology [17,20]. The development of theoretical models that describe the quantum field theory of neutrinos coupled to gravity and the impact of curved spacetime on the oscillation probability have been addressed in several studies (see, for example, [21]).…”

Gravitational waves and neutrino oscillations in Chern-Simons axion gravity

“…After the recent success in experimental studies, it has been determined that neutrinos are massive particles and have nonzero mixing between different flavors that leads to flavor oscillations. External fields can significantly modify the process of neutrino oscillations and therefore the gravitational interaction can have observable effects on the propagation and oscillation of neutrino flavor [87][88][89][90][91][92][93][94][95][96][97][98][99][100][101][102][103]. In particular, we will take into account the contribution of GW following ref.…”