Fluctuation Relations for Diffusions Thermally Driven by a Non-Stationnary Bath

In the context of the dynamical evolution in a non-stationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit fluctuation relations which are global versions either of the generalized Fluctuation-Dissipation Theorem around a non-equilibrium diffusion or of the usual Fluctuation-Dissipation Theorem for energy resulting from a pulse of temperature.