Abstract The mass neutrino interference phases along the null
trajectory and the geodesic line in Kerr space--time are studied on
the plane θ=π/2. Because of the rotation object in Kerr
space--time, a particle travelling along the radial geodesic must
have a dragging effect produced by the angular momentum of the
central object. We give the correction of the phase due to the
rotation of the space--time. We find that the type-I interference
phase along the geodesic remains the double of that along the null on
the condition that the rotating quantity parameter a2 is
preserved and the higher order terms are negligible (e.g. a4).
In addition, we calculate the proper oscillation length in Kerr
space--time. All of our results can return to those in Schwarzschild
space--time as the rotating parameter a approaches zero.
Received: 08 April 2009
Revised: 06 May 2009
Published: 20 December 2009