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gr-qc2024★ 8 cited
Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime
Paul Ramond, Soichiro Isoyama
This work constitutes the second part of a series of studies that aim to utilise tools from Hamiltonian mechanics to investigate the motion of an extended body in general relativit…
gr-qc2024★ 11 cited
On the integrability of extended test body dynamics around black holes
Paul Ramond
In general relativity, the motion of an extended test body is influenced by its proper rotation, or spin. We present a covariant and physically self-consistent Hamiltonian framewor…