Dirac Spinors and Their Application to Bianchi-I Space-Times in 5 Dimensions

  • Stefano Vignolo
  • Luca FabbriEmail author
  • Oscar Castillo-Felisola


We consider a five-dimensional Einstein–Sciama–Kibble spacetime upon which Dirac spinor fields can be defined. Dirac spinor fields in five and four dimensions share many features, like the fact that both are described by four-component spinor fields, but they are also characterized by strong differences, like the fact that in five dimensions we do not have the possibility to project on left-handed and right-handed chiral parts: we conduct a polar decomposition of the spinorial fields, so to highlight all similarities and discrepancies. As an application of spinor fields in five dimensions, we study Bianchi-I spacetimes, verifying whether the Dirac fields in five dimensions can give rise to inflation or dark-energy dominated cosmological eras or not.



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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.DIME Sez. Metodi e Modelli MatematiciUniversità di GenovaGenovaItaly
  2. 2.Departamento de FísicaUniversidad Técnica Federico Santa MaríaValparaisoChile
  3. 3.Centro Científico Tecnológico de ValparaísoValparaisoChile

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