Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory
arXiv:1112.5183 · doi:10.1016/j.physletb.2012.02.043
Abstract
Using the modern Kaluza-Klein theory of gravity (or the Induced Matter theory), we study the Dirac equation for massive neutrinos on a de Sitter background metric from a 5D Riemann-flat (and hence Ricci-flat) extended de Sitter metric, on which is defined the vacuum for test massless 1/2-neutral fields minimally coupled to gravity and free of any other interactions. We obtain that the effective 4D masses of the neutrinos can only take three possible values, which are related to the (static) foliation of the fifth and noncompact extra dimension.
Version with some corrections included in the erratum
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