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Chin. Phys. B, 2009, Vol. 18(12): 5575    DOI: 10.1088/1674-1056/18/12/073
GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS Prev  

Neutrino oscillation interference phase in Kerr space--time

Ren Jun, Jia Meng-Wen, Yuan Chang-Qing
School of Science, Hebei University of Technology, Tianjin 300130, China
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.
Keywords:  Kerr space--time      gravitational field      general relativity      geodesic line      neutrino interference phase  
Received:  08 April 2009      Revised:  06 May 2009      Published:  20 December 2009
PACS:  13.15.+g (Neutrino interactions)  
  02.40.-k (Geometry, differential geometry, and topology)  
  04.20.-q (Classical general relativity)  
  04.70.-s (Physics of black holes)  

Cite this article: 

Ren Jun, Jia Meng-Wen, Yuan Chang-Qing Neutrino oscillation interference phase in Kerr space--time 2009 Chin. Phys. B 18 5575

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