Gravitational double layers, unlike their classical electromagnetic
counterparts, are thought to be forbidden in gravity theories. It has been
recently shown, however, that they are feasible in, for instance, gravity
theories with a Lagrangian quadratic in the curvature. This is surprising with
many potential consequences and the possibility of new physical behaviours.
While a clear interpretation seems elusive, several lines of research are open.
I present the field equations for double layers, the new physical quantities
arising, and several explicit examples.Comment: 11 pages, no figures. Invited talk at the Spanish Relativity Meeting
2014 (ERE-2014), submitted to its Proceeding