  Some years ago, a new powerful technique, known as the Classical Effective
Field Theory, was proposed to describe classical phenomena in gravitational
systems. Here we show how this approach can be useful to investigate
theoretically important issues, such as gravitational radiation in any
spacetime dimension. In particular, we derive for the first time the
Einstein-Infeld-Hoffman Lagrangian and we compute Einstein's quadrupole formula
for any number of flat spacetime dimensions.
