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.

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