Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum
Pablo Alejandro S\'anchez, Mariano Anabitarte, Mauricio Bellini, (IFIMAR, Mar del Plata University)
TL;DR
This paper derives an effective 4D Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime starting from a 5D Ricci-flat background, showing how neutrino mass can originate from extra dimensions.
Contribution
It presents a novel derivation of neutrino mass in a curved spacetime from a 5D Ricci-flat metric, linking extra dimensions to neutrino properties.
Findings
Neutrino mass can be induced from extra spatial dimensions.
Effective 4D Dirac equation accounts for background geometry effects.
The approach connects higher-dimensional theories with neutrino phenomenology.
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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