Université Libre de Bruxelles (ULB)

## Talks by Adrien Druart

## Complete set of quasi-conserved quantities for spinning particles around Kerr

Adrien Druart
Université Libre de Bruxelles (ULB)

I will revisit the conserved quantities of the Mathisson-Papapetrou-Tulczyjew equations describing the motion of spinning particles around a fixed background. Assuming Ricci-flatness and the existence of a Killing-Yano tensor, I obtain three non-trivial quasi-conserved quantities, i.e. conserved at linear order in the spin, thereby completing the two quasi-constants of motion found by Rüdiger with one new independent quasi-constant of motion. Finally, I will discuss the implications for the motion of spinning particles in the Kerr geometry.