Weighted Lorentz-Finsler analogues of the Penrose, Hawking, and Hawking-Penrose singularity theorems, plus a weighted Bonnet-Myers theorem, are proved using a new weighted Raychaudhuri equation and a family of ǫ-completeness conditions.
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Geometry of weighted Lorentz-Finsler manifolds I: Singularity theorems
Weighted Lorentz-Finsler analogues of the Penrose, Hawking, and Hawking-Penrose singularity theorems, plus a weighted Bonnet-Myers theorem, are proved using a new weighted Raychaudhuri equation and a family of ǫ-completeness conditions.