Abstract The mass neutrino interference phases along the null trajectory and the geodesic line in Kerr space--time are studied on the plane $\theta=\pi/2$. 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
Accepted manuscript online:
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