5 problems

In the Bach case, the weights satisfy … The Bach action is the squared norm of the Weyl curvature, and the problem is varied independently with respect to the metric and connection…

Consider the metric-affine Euler–Lagrange problem for the action with weights $c_j$, restricted to Riemannian spacetimes, meaning spacetimes with metric-compatible connections. Tho…

Let $c_j$ be the weights in the metric-affine action, and let Minkowski space be equipped with connections of the form … Here $R(x)$ denotes the curvature of the connection, and th…

Consider quadratic metric-affine gravity with a pp-metric and explicitly given purely axial torsion whose Ricci curvature is parallel. Purely axial torsion pp-wave conjecture. Ther…

In quadratic metric-affine gravity, consider metric-compatible spacetimes with purely axial torsion waves and the field equations obtained by varying the action with respect to the…