Dirac equation for massive neutrinos in a Schwarzschild-de Sitter   spacetime from a 5D vacuum
  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. 
Pablo Alejandro S\'anchez, Mariano Anabitarte, Mauricio Bellini   (IFIMAR and Mar del Plata University)
hep-th astro-ph.HE gr-qc math-ph math.MP