中国物理B ›› 2009, Vol. 18 ›› Issue (12): 5575-5582.doi: 10.1088/1674-1056/18/12/073

• • 上一篇    

Neutrino oscillation interference phase in Kerr space--time

任军, 贾孟文, 袁常青   

  1. School of Science, Hebei University of Technology, Tianjin 300130, China
  • 收稿日期:2009-04-08 修回日期:2009-05-06 出版日期:2009-12-20 发布日期:2009-12-20

Neutrino oscillation interference phase in Kerr space--time

Ren Jun(任军)†, Jia Meng-Wen(贾孟文), and Yuan Chang-Qing(袁常青)   

  1. School of Science, Hebei University of Technology, Tianjin 300130, China
  • Received:2009-04-08 Revised:2009-05-06 Online:2009-12-20 Published:2009-12-20

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摘要： 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.

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.

Key words: gravitational field, general relativity, neutrino interference phase, Kerr space--time, geodesic line

中图分类号:  (Neutrino interactions)

  • 13.15.+g
02.40.-k (Geometry, differential geometry, and topology) 04.20.-q (Classical general relativity) 04.70.-s (Physics of black holes)