PIRSA:21060061 Conference Other

DOI10.48660/21060061

Conference/School: The 24th Capra meeting on Radiation Reaction in General Relativity

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}}
}

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.

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