centra

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
different approximation techniques. Many
applications in gravitational physics, e.g. the
detection of gravitational waves, crucially depend
on our theoretical understanding and mastery of
such approximation techniques.

In this talk we provide a brief review of the
so-called \'problem of motion\' in General Relativity.
In particular we focus on multipolar approximation
methods and their use in the description of the
motion of extended test bodies.