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Kantowski-Sachs and Bianchi III dynamics in $f\left(Q\right)$-gravity

Kantowski-Sachs and Bianchi III dynamics in $f\left(Q\right)$-gravity

We explore the phase-space of homogeneous and anisotropic spacetimes within symmetric teleparallel $f(Q)$-gravity. Specifically, we consider the Kantowski-Sachs and locally rotational Bianchi III geometries to describe the physical space. By analyzing the phase-space, we reconstruct the cosmological history dictated by $f(Q)$-gravity and comment about the theory's viability. Our findings suggest …