@misc{10481/93493,
year = {2024},
month = {6},
url = {https://hdl.handle.net/10481/93493},
abstract = {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.},
organization = {Spanish Ministerio de Ciencia Innovación y
Universidades-Agencia Estatal de Investigación Grant Nos. AEI/PID2020-116567GB-C22
and PID2021-128970OA-I00},
organization = {Madrid Government (Comunidad
de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of
University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme
of Research and Technological Innovation)},
organization = {FEDER/Junta
de Andalucía Consejería de Universidad, Investigación e Innovación, and by the European
Union, through Grants Nos. A-FQM-644-UGR20 and C-EXP-251-UGR23},
publisher = {IOP Publishing},
keywords = {diffusion Lorentzian manifolds},
keywords = {covariant Fokker-Planck equation},
keywords = {spacetime symmetries},
title = {Spacetime symmetries and geometric diffusion},
doi = {10.1088/1751-8121/ad5a57},
author = {Basquens, Marc and Lasanta Becerra, Antonio and Mompó, Emanuel and Varo, María del Valle and Sánchez Villaseñor, Eduardo Jesús},
}