Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum

Details Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum

2011-10-06

arxiv.org/abs/1110.1300v3

Physics

High Energy Physics

High Energy Physics - Theory

accepted in Physics Letters B

Scientific paper

Starting from a Dirac equation for massless neutrino in a 5D Ricci-flat background metric, we obtain the effective 4D equation for massive neutrino in a Schwarzschild-de Sitter (SdS) background metric from an extended SdS 5D Ricci-flat metric. We use the fact that the spin connection is defined to an accuracy of a vector, so that the covariant derivative of the spinor field is strongly dependent of the background geometry. We show that the mass of the neutrino can be induced from the extra space-like dimension.

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