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Gravity stands out among the fundamental interactions because of its apparentincompatibility with having a quantum description. Moreover, thermodynamicaspects of gravitation theory appears as puzzling features of some classicalsolutions such as black holes. These and other aspects of gravitationaltheories have recently lead to the proposal that gravity might not be afundamental interaction but rather an emergent phenomenon, a sort ofhydrodynamic limit of some more fundamental theory. In order to further explorethis possibility we shall here discuss two systems where such emergence of agravitational dynamics is observed. We shall consider first the case of anon-relativistic Bose-Einstein condensate and then a more abstract model basedon scalar fields living on a Riemannian manifold. This will allow us to put inevidence the general issues related to emergent gravity scenarios with aparticular attention to the role and nature of Lorentz and diffeomorphisminvariance.

Analogue Models for Emergent Gravity