PIRSA:21060061

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

Druart, A. (2021). Complete set of quasi-conserved quantities for spinning particles around Kerr. Perimeter Institute. https://pirsa.org/21060061

Druart, Adrien. Complete set of quasi-conserved quantities for spinning particles around Kerr. Perimeter Institute, Jun. 10, 2021, https://pirsa.org/21060061 

          @misc{ pirsa_PIRSA:21060061,
            doi = {10.48660/21060061},
            url = {https://pirsa.org/21060061},
            author = {Druart, Adrien},
            keywords = {Other},
            language = {en},
            title = {Complete set of quasi-conserved quantities for spinning particles around Kerr},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060061 see, \url{https://pirsa.org}}
          }

Adrien Druart Université Libre de Bruxelles

Talk numberPIRSA:21060061
DOI10.48660/21060061
Collection
Talk Type Conference
Subject

Abstract

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.