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We investigate the $1+1+2$ covariant formalism in the presence ofnonmetricity. Focusing on static and Locally Rotationally Symmetric spacetimes,we show how nonmetricity affects all the kinematic quantities involved in thecovariant $1+1+2$ decomposition. We apply the resulting geometrical frameworkto study spherically symmetric solutions in the context of $f(\mathcal{Q})$gravity in vacuum. We obtain explicit solutions and sufficient conditions forthe existence of Schwarzschild-de Sitter type solutions.

Static and LRS spacetimes of type II in $f(\mathcal{Q})$ gravity