Penrose's singularity theorem in a Finsler spacetime
Differential Geometry
2016-03-01 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We translate Penrose's singularity theorem to a Finsler spacetime. To that end, causal concepts in Lorentzian geometry are extended, including definitions and properties of focal points and trapped surfaces, with careful attention paid to the differences that arise in the Finslerian setting.
Keywords
Cite
@article{arxiv.1410.7595,
title = {Penrose's singularity theorem in a Finsler spacetime},
author = {Amir Babak Aazami and Miguel Angel Javaloyes},
journal= {arXiv preprint arXiv:1410.7595},
year = {2016}
}
Comments
22 pages, version 3: added Remark 7.4 and Conclusion; cf. arXiv:1601.04951 and arXiv:1602.05492; final published version