Title: "Motion of extended bodies in General Relativity"
The description of the motion of extended bodies
represents a long-standing problem in the context
of Einstein's theory of gravity.
In general, the study of extended self-gravitating
objects in General Relativity requires the use of
approximation techniques. Many applications in
gravitational physics, e.g. the detection of
gravitational waves, crucially depend on our
understanding and mastery of different approximation
In this talk we provide a brief review of the
so-called 'problem of motion' in General Relativity
and related conceptual problems in the context
of relativistic approximation schemes. In particular
we focus on a multipolar method, which was recently
used to derive the equations of motion for extended
bodies up to the quadrupolar order and beyond.