Neutrino oscillation in the q-metric

Abstract We investigate neutrino oscillation in the field of an axially symmetric space-time, employing the so-called q-metric, in the context of general relativity. Following the standard approach, we compute the phase shift invoking the weak and strong field limits and small deformation. To do so,...

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Main Authors: Kuantay Boshkayev, Orlando Luongo, Marco Muccino
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-020-08533-3
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author Kuantay Boshkayev
Orlando Luongo
Marco Muccino
author_facet Kuantay Boshkayev
Orlando Luongo
Marco Muccino
author_sort Kuantay Boshkayev
collection DOAJ
description Abstract We investigate neutrino oscillation in the field of an axially symmetric space-time, employing the so-called q-metric, in the context of general relativity. Following the standard approach, we compute the phase shift invoking the weak and strong field limits and small deformation. To do so, we consider neutron stars, white dwarfs and supernovae as strong gravitational regimes whereas the solar system as weak field regime. We argue that the inclusion of the quadrupole parameter leads to the modification of the well-known results coming from the spherical solution due to the Schwarschild space-time. Hence, we show that in the solar system regime, considering the Earth and Sun, there is a weak probability to detect deviations from the flat case, differently from the case of neutron stars and white dwarfs in which this probability is larger. Thus, we heuristically discuss some implications on constraining the free parameters of the phase shift by means of astrophysical neutrinos. A few consequences in cosmology and possible applications for future space experiments are also discussed throughout the text.
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spelling doaj.art-7d2c458a5a4d4db5aa4c7749951d108c2022-12-22T00:12:56ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-10-01801011210.1140/epjc/s10052-020-08533-3Neutrino oscillation in the q-metricKuantay Boshkayev0Orlando Luongo1Marco Muccino2National Nanotechnology Laboratory of Open Type, Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National UniversityNational Nanotechnology Laboratory of Open Type, Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National UniversityNational Nanotechnology Laboratory of Open Type, Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National UniversityAbstract We investigate neutrino oscillation in the field of an axially symmetric space-time, employing the so-called q-metric, in the context of general relativity. Following the standard approach, we compute the phase shift invoking the weak and strong field limits and small deformation. To do so, we consider neutron stars, white dwarfs and supernovae as strong gravitational regimes whereas the solar system as weak field regime. We argue that the inclusion of the quadrupole parameter leads to the modification of the well-known results coming from the spherical solution due to the Schwarschild space-time. Hence, we show that in the solar system regime, considering the Earth and Sun, there is a weak probability to detect deviations from the flat case, differently from the case of neutron stars and white dwarfs in which this probability is larger. Thus, we heuristically discuss some implications on constraining the free parameters of the phase shift by means of astrophysical neutrinos. A few consequences in cosmology and possible applications for future space experiments are also discussed throughout the text.http://link.springer.com/article/10.1140/epjc/s10052-020-08533-3
spellingShingle Kuantay Boshkayev
Orlando Luongo
Marco Muccino
Neutrino oscillation in the q-metric
European Physical Journal C: Particles and Fields
title Neutrino oscillation in the q-metric
title_full Neutrino oscillation in the q-metric
title_fullStr Neutrino oscillation in the q-metric
title_full_unstemmed Neutrino oscillation in the q-metric
title_short Neutrino oscillation in the q-metric
title_sort neutrino oscillation in the q metric
url http://link.springer.com/article/10.1140/epjc/s10052-020-08533-3
work_keys_str_mv AT kuantayboshkayev neutrinooscillationintheqmetric
AT orlandoluongo neutrinooscillationintheqmetric
AT marcomuccino neutrinooscillationintheqmetric