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arXiv · 1110.1300

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

Pablo Alejandro Sánchez·Mariano Anabitarte·Mauricio Bellini
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Abstract

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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Pablo Alejandro Sánchez, Mariano Anabitarte, Mauricio Bellini. 2011-10-26. Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum. https://doi.org/10.1016/j.physletb.2011.10.058

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