From the 1 of 5 linked papers with an AI index.
5 papers
Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos
Paul Ramond
The paper proves analytically and demonstrates numerically that a tidally induced quadrupole moment in a non‑spinning body destroys the Carter constant of Kerr geodesics, making th…
Octupole moments and the non-universality of free-fall in general relativity
Abraham I. Harte, Paul Ramond
Extended bodies in general relativity do not necessarily fall along geodesics, but can be accelerated. These accelerations depend on an object's angular momentum, as well as on its…
Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown
Paul Ramond, Soichiro Isoyama, Adrien Druart
We investigate the integrability of spinning compact body dynamics at quadratic order in spin in four-dimensional Einstein spacetimes admitting a non-degenerate Killing--Yano tenso…
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…
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…