Kavli Affiliate: J. S. Villasenor
| First 5 Authors: Marc Basquens, Antonio Lasanta, Emanuel Mompó, Valle Varo, Eduardo J. S. Villaseñor
| Summary:
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.
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