Spacetime symmetries and geometric diffusion Basquens, Marc Lasanta Becerra, Antonio Mompó, Emanuel Varo, María del Valle Sánchez Villaseñor, Eduardo Jesús diffusion Lorentzian manifolds covariant Fokker-Planck equation spacetime symmetries We examine relativistic diffusion through the frame and observer bundles associated with a Lorentzian manifold (M, g). Our focus is on spacetimes with a non-trivial isometry group, and we detail the conditions required to find symmetric solutions of the relativistic diffusion equation. Additionally, we analyze the conservation laws associated with the presence of Killing vector fields on (M, g) and their implications for the expressions of the geodesic spray and the vertical Laplacian on both the frame and the observer bundles. Finally, we present several relevant examples of symmetric spacetimes. 2024-07-26T07:23:00Z 2024-07-26T07:23:00Z 2024-06-28 info:eu-repo/semantics/article Basequens, M. et. al. 57 (2024) 285204 (28pp). [https://doi.org/10.1088/1751-8121/ad5a57] https://hdl.handle.net/10481/93493 10.1088/1751-8121/ad5a57 eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional IOP Publishing