Non-minimally coupled nonlinear spinor field in Bianchi type-I cosmology

  • Bijan SahaEmail author
Regular Article


Within the scope of the Bianchi type-I cosmological model we have studied the role of the spinor field in the evolution of the Universe. In doing so, we have considered the case with non-minimal coupling. It was found that the non-diagonal components of the energy-momentum tensor of the spinor field, hence the restrictions on the space-time geometry remain the same as in the case of minimal coupling. Since in this case the diagonal components of the energy-momentum tensor differ, the evolution of the corresponding Universe also differs. For example, while a linear spinor field with non-minimal coupling or a nonlinear spinor field with minimal coupling give rise to an open universe, a nonlinear spinor field with non-minimal coupling with the same parameters can generate a close universe that at the beginning expands, and after attaining some maximum value begins to contract and finally ends in a Big Crunch.


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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Laboratory of Information TechnologiesJoint Institute for Nuclear ResearchDubna, Moscow regionRussia
  2. 2.Institute of Physical Research and TechnologiesPeople’s Friendship University of RussiaMoscowRussia

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