Neutrino oscillations in de Sitter space-time

TL;DR

This paper develops a framework for understanding neutrino flavor oscillations in de Sitter space-time by solving the covariant Dirac equation and deriving new oscillation probability formulas that differ from Minkowski space results.

Contribution

It provides exact solutions to the Dirac equation in de Sitter space and introduces explicit formulas for neutrino oscillation probabilities in this curved spacetime.

Findings

Derived explicit phase of neutrino wave functions in de Sitter space

Formulated new neutrino oscillation probability equations for curved spacetime

Highlighted differences from standard Minkowski space results

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.