Palestrante: Ricardo Mosna (DFMC-IFGW-Unicamp)

In this talk, I explore how internal deformations in extended bodies—such as periodic pulsations—can lead to chaotic motion, even in the absence of external perturbations. Using both classical and relativistic frameworks, I show how finite-size effects, introduced via time-dependent quadrupole moments, can break integrability and induce homoclinic chaos. The analysis spans Newtonian systems, Schwarzschild black holes, and more exotic spacetimes with charge or dark matter halos. Intriguingly, even perfectly spherical bodies can deviate from geodesic motion at high multipolar orders, revealing a purely relativistic route to disorder. These findings raise conceptual questions about the nature of extended motion in curved spacetimes—and offer potential observational signatures in gravitational wave signals from inspiraling stars.