  We summarize recent results on $D$-dimensional Robinson-Trautman solutions of
Einstein's gravity in the presence of a conformally invariant non-linear
electromagnetic field and a cosmological constant. These spacetimes contain
static dyonic black holes with various horizon geometries and their
time-dependent radiating generalizations, as well as a class of stealth
solutions. Extensions to $f(R)$ and Gauss-Bonnet gravity are mentioned.
