  We develop the theory of weighted Ricci curvature in a weighted
Lorentz-Finsler framework and extend the classical singularity theorems of
general relativity. In order to reach this result, we generalize the Jacobi,
Riccati and Raychaudhuri equations to weighted Finsler spacetimes and study
their implications for the existence of conjugate points along causal
geodesics. We also show a weighted Lorentz-Finsler version of the Bonnet-Myers
theorem based on a generalized Bishop inequality.
