Neutrino spin oscillations in gravitational fields in non-commutative Spaces

Abstract

We study neutrino spin oscillations in gravitational fields in non-commutative spaces. For the Schwarzschild metric the maximum frequency decreases with increasing the noncommutativity parameter. In the case of Reissner-Nordstrom (RN) metric, the maximum frequency of oscillation is a monotonically increasing function of the noncommutativity parameter .In both cases, the frequency of spin oscillations decreases as the distance from the gravitational source grows. We present a phenomenological application of our results. It is also shown that the noncommutativity parameter is bounded as 0.1 l_p.

17pages, 3 figures, replaced with the version accepted for publication in Physica Scripta

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• Noncommutative geometry inspired charged black holes
• Analysis of Collective Neutrino Flavor Transformation in Supernovae
• Noncommutative Gravity
• Neutrino spin oscillations in matter under the influence of gravitational and electromagnetic fields
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• Curved-spacetime dynamics of spin-$\frac{1}{2}$ particles in superposed states from a WKB approximation of the Dirac equation
• Neutrino spin oscillations in a magnetized Polish doughnut
• Spin precession and neutrino helicity flip in various spacetimes
• Neutrino spin oscillations in gravitational fields in higher dimensions
• Neutrino spin oscillation in screening models revisited
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• Variations in the fine structure constant constraining gravity theories
• Spin oscillations of neutrinos scattered by the supermassive black hole in the galactic center
• Spin and flavor oscillations of neutrinos in gravitational fields