PreprintCC BY 4.0arXiv
The C0-inextendibility of Kerr spacetimes
Abstract
We prove the C0-inextendibility of the full Kerr realizations considered in this paper and all their connected covering spacetimes. The result holds for positive mass and nonzero rotation in the subextremal, extremal, and overextremal regimes. The obstruction at the singular ring is expressed by unbounded proper time in a fixed-endpoint causal homotopy class. It persists under every positive continuous conformal rescaling and under continuous widening of the Kerr causal cones, without any global causality assumption. We give sharp bounds in a fixed coordinate norm for stationary and axisymmetric perturbations and describe complete timelike geodesics that encounter arbitrarily large curvature near the ring.
Related
- C0-inextendibility of a class of Vaidya spacetimes
- Future Completeness, C0-Inextendibility and Cauchy Horizons in Homogeneous Einstein Spacetimes
- Quasinormal modes on Kerr spacetimes
- Mode stability for the Klein-Gordon equation on subextremal Kerr-de Sitter spacetimes
- Constraint damping on subextremal Kerr spacetimes
BibTeX
@misc{gunara2026c0inextendibility,
title = {{The $C^0$-inextendibility of Kerr spacetimes}},
author = {Bobby Eka Gunara},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35012},
eprint = {2610.35012},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35012},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The C^0-inextendibility of Kerr spacetimes
AU - Bobby Eka Gunara
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35012
UR - https://arxiv.org/abs/2610.35012
AB - We prove the C^0-inextendibility of the full Kerr realizations considered in this paper and all their connected covering spacetimes. The result holds for positive mass and nonzero rotation in the subextremal, extremal, and overextremal regimes. The obstruction at the singular ring is expressed by unbounded proper time in a fixed-endpoint causal homotopy class. It persists under every positive continuous conformal rescaling and under continuous widening of the Kerr causal cones, without any global causality assumption. We give sharp bounds in a fixed coordinate norm for stationary and axisymmetric perturbations and describe complete timelike geodesics that encounter arbitrarily large curvature near the ring.
ER -