  In this contribution I wish to address the question whether, and how, the
global cosmological expansion influences local physics. I argue that a pseudo
Newtonian picture can be quite accurate if "expansion" is taken to be an
attribute of the inertial structure rather than of "space" in some
substantivalist sense. This contradicts the often-heard suggestion to imagine
cosmological expansion as that of "space itself". Regarding General Relativity,
I emphasise the need for proper geometric characterisations in order to
meaningfully compare localised systems in different spacetimes, like black
holes in static and expanding environments. Examples of this sort are discussed
in some detail to clearly map out the problems.
