Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory

Details Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory

2011-12-21

arxiv.org/abs/1112.5183v4

Physics

High Energy Physics

High Energy Physics - Theory

Version with some corrections included in the erratum

Scientific paper

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.

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