/ Gravitation and Cosmology

Bianchi type-VIII spinor solutions

Saha, Bijan (Dubna, JINR)

Published in: Eur.Phys.J.Plus
Year: 2017
Vol.: 132    Num./Issue: 12
Page No: 547
Year: 2017-12-28 published

Abstract: Within the scope of Bianchi type-VIII space-time the role of nonlinear spinor field in the evolution of the Universe is studied. It is found that, unlike the diagonal Bianchi models, in this case the components of energy-momentum tensor of spinor field along the principal axis are not the same, i.e. $T_{1}^{1} \ne T_{2}^{2} \ne T_{3}^{3}$ , even in the absence of spinor field nonlinearity. The presence of nontrivial non-diagonal components of energy-momentum tensor of the spinor field imposes severe restrictions both on geometry of space-time and on the spinor field itself. While the energy-momentum with diagonal components alone allows only locally rotational symmetry, say $a_{1} \sim a_{2}$ , in this case there might be a second case with $a_{1} \sim a_{2} \sim a_{3}$ . It was found that, like a Bianchi type-IX case, a positive $\lambda_{1}$ gives rise to an oscillatory mode of expansion, while a trivial $\lambda_{1}$ leads to rapid expansion at the early stage of evolution.

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DOI: 10.1140/epjp/i2017-11830-0