Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum
High Energy Physics - Theory
2015-05-30 v3 High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1110.1300,
title = {Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum},
author = {Pablo Alejandro Sánchez and Mariano Anabitarte and Mauricio Bellini},
journal= {arXiv preprint arXiv:1110.1300},
year = {2015}
}
Comments
accepted in Physics Letters B