Neutrino oscillations in de Sitter space-time

Abstract

We try to understand flavor oscillations and to develop the formulae for describing neutrino oscillations in de Sitter space-time. First, the covariant Dirac equation is investigated under the conformally flat coordinates of de Sitter geometry. Then, we obtain the exact solutions of the Dirac equation and indicate the explicit form of the phase of wave function. Next, the concise formulae for calculating the neutrino oscillation probabilities in de Sitter space-time are given. Finally, The difference between our formulae and the standard result in Minkowski space-time is pointed out.

arXiv comment13 pages, no figures

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Cited by in corpus (4)

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• Neutrino oscillations in Kerr-Newman space-time
• Wave packet treatment of neutrino flavor oscillations in various spacetimes
• Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation