Volume comparison between spacelike hypersurfaces in a Lorentzian manifold with integral Ricci curvature bounds

Computer Science

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Lorentzian Manifold, Spacelike Hypersurface, Integral Ricci Curvature Bound, Generalized Ricci Tensor, (Weighted) Volume Comparison

Scientific paper

We obtain the volume comparison between spacelike hypersurfaces in a
Lorentzian manifold with integral Ricci and mean curvature bounds. Also
we extend volume comparisons to weighted volume comparisons with
integral norms of the generalized Ricci tensor.

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