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arXiv · 2112.03628

Spinor fields in $f(\mathcal{Q})$-gravity

Stefano Vignolo·Sante Carloni·Roberto Cianci·Fabrizio Esposito·Luca Fabbri
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Abstract

We present a tetrad-affine approach to $f(\mathcal{Q})$ gravity coupled to spinor fields of spin-1/2. After deriving the field equations, we derive the conservation law of the spin density, showing that the latter ensures the vanishing of the antisymmetric part of the Einstein-like equations, just as it happens in theories with torsion and metricity. We then focus on Bianchi type-I cosmological models proposing a general procedure to solve the corresponding field equations and providing analytical solutions in the case of gravitational Lagrangian functions of the kind $f(\mathcal{Q})=α\mathcal{Q}^n$. At late time such solutions are seen to isotropize and, depending on the value of the exponent $n$, they can undergo an accelerated expansion of the spatial scale factors.

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Stefano Vignolo, Sante Carloni, Roberto Cianci, Fabrizio Esposito, Luca Fabbri. 2021-12-07. Spinor fields in $f(\mathcal{Q})$-gravity. https://doi.org/10.1088/1361-6382%2Fac36e3

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