Volume comparison theorems in Finsler spacetimes

In a $(1+n)$-dimensional Lorentz--Finsler manifold with $N$-Bakry--Émery Ricci curvature bounded below for $N\in(n,\infty]$, using the Riccati equation techniques, we established the Bishop--Gromov volume comparison for the so-called standard sets for comparisons in Lorentzian volumes (SCLVs).We also established the Günther volume comparison for SCLVs when the flag curvature was bounded above.

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