Emergent gravity: the analogue models perspective

This thesis is devoted to the study of some aspects of emergent gravity scenarios, i.e. of non-gravitational systems which exhibit, under suitable conditions, the emergence of effective spacetime metrics and the associated gravitational dynamics. While this area of research is rather broad, we will assume a particular perspective: the starting point is the discussion of analogue models for gravity, which have so far provided precious insights on aspects of physics on curved spacetimes, on extensions of Riemannian geometry and on the possible role of high energy Lorentz symmetry violations in low energy physics....