Abstract: Newton-Cartan theory has experienced something of a renaissance in recent years. On the one hand, (i) physicists have been working on applying Newton-Cartan holography to condensed matter physics; and on the other hand, (ii) philosophers have been debating the relationship between so-called "Maxwell spacetime" and the celebrated Trautman recovery theorem. I shall argue that there is an unexpected connection between these topics: I will use this connection to prove a new generalization of the Trautman recovery theorem, which will in turn be used to shed light on (ii).