Modified gravity, gravitational waves and the large-scale structure of the Universe: A brief report

The goal of this short report is to summarise some key results based on our previous works on model independent tests of gravity at large scales in the Universe, their connection with the properties of gravitational waves, and the implications of the recent measurement of the speed of tensors for the phenomenology of general families of gravity models for dark energy.
Comment: 11 pages plus references. Based on a talk given at the 15th Marcel Grossmann meeting