Abstract.
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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References
B. Saha, Phys. Rev. D 64, 123501 (2001)
B. Saha, Phys. Rev. D 74, 124030 (2006)
B. Saha, Phys. Part. Nucl. 40, 656 (2009)
L. Fabbri, Phys. Rev. D 85, 047502 (2012)
G.M. Kremer, R.C. de Souza, Cosmological models with spinor and scalar fields by Noether symmetry approach, arXiv:1301.5163v1 [gr-qc] (2013)
B. Saha, Phys. Part. Nucl. 49, 146 (2018)
S. Carloni et al., JCAP 09, 014 (2019) arXiv:1811.10300 [Astro-Phys]
C. Armendáriz-Picón, P.B. Greene, Gen. Relativ. Gravit. 35, 1637 (2003)
B. Saha, Astrophys. Space Sci. 357, 28 (2015)
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Saha, B. Non-minimally coupled nonlinear spinor field in Bianchi type-I cosmology. Eur. Phys. J. Plus 134, 491 (2019). https://doi.org/10.1140/epjp/i2019-12859-7
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DOI: https://doi.org/10.1140/epjp/i2019-12859-7