I will discuss recent progress in the 1/c expansion of general relativity where c is the speed of light. This is an off shell and covariant approximation of general relativity that is similar to the post‐Newtonian approximation.
I will show that it provides an action principle for matter coupled Newton‐Cartan gravity which on shell is described by torsionless Newton‐Cartan geometry. For certain choices of matter, instead of leading to Newton‐Cartan gravity, it rather gives rise to matter coupled Galilean gravity and I will discuss these cases as well. Finally, time permitting, I will end with some comments about the 1/c expansions of the Nambu‐Goto and Polyakov actions for strings.
Jelle Hartong (Edinburgh): Non‐relativistic expansion of general relativity
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Foto: Barbara Mair