Neutrino Oscillations in the de Sitter and the Anti-de Sitter Space-Time |
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Authors: | Jun Ren and Yuan-Yue Pan |
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Institution: | (1) School of Science, Hebei University of Technology, 300130 Tianjin, China;(2) Xinjiang Astronomical Observatories, Chinese Academy of Sciences, Urumqi, Xinjiang, 830011, China |
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Abstract: | General expressions of the neutrino oscillation phase in the generally static space-time with spherical symmetry are given.
The effect of the gravitational field on the oscillation length is embodied in the gravitational red shift factor. We find
that a blue shift of the oscillation length takes place when the neutrino travels out of the gravitational field. Then, we
discuss the variation of the oscillation length influenced by the cosmological constant. In the de Sitter space-time, the
positive cosmological constant prolongs the oscillation length. And, in the anti-de Sitter space-time, the negative cosmological
constant shortens it as expected. |
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Keywords: | |
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