LISA, the Laser Interferometer Space Antenna, will usher in a new era in gravitational-wave
astronomy. As the first anticipated space-based gravitational-wave detector, it will expand …

Different extended objects can fall in different ways, depending on their internal structures.
Some motions are nevertheless impossible, regardless of internal structure. This paper …

This thesis aims to explore the properties of the motion of finite size, compact test bodies
around a Kerr black hole in the small mass-ratio approximation. The small body is modelled …

Building upon the Noether charge formalism of Iyer and Wald, we derive a variational
formula for spacetimes admitting a Killing vector field for a generic energy-momentum …

The work completed during this thesis aimed at pushing forward our knowledge of
gravitational phenomena, by following two directions:(i) deepening our comprehension of …

This is the first part of a series of work aiming at settling the issue of integrability, or lack
thereof, for spinning particles around black hole spacetimes in general relativity. In this …

The thesis tackles two distinct problems of great interest in gravitational mechanics—one
relativistic and one Newtonian. The relativistic one is concerned with the" first law of binary …