The stability of abstract boundary essential singularities
| dc.creator | Ashley, Michael J. S. L. | |
| dc.date | 2002-09-26 | |
| dc.date.accessioned | 2026-07-07T03:27:13Z | |
| dc.date.available | 2026-07-07T03:27:13Z | |
| dc.description | The abstract boundary has, in recent years, proved a general and flexible way to define the singularities of space-time. In this approach an essential singularity is a non-regular boundary point of an embedding which is accessible by a chosen family of curves within finite parameter distance. Ashley and Scott proved the first theorem relating essential singularities in strongly causal space-times to causal geodesic incompleteness. Linking this with the work of Beem on the $C^{r}$-stability of geodesic incompleteness allows proof of the stability of these singularities. Here I present this result stating the conditions under which essential singularities are $C^{1}$-stable against perturbations of the metric. | |
| dc.description | to appear in GRG October 2002 - contains tex source and 2 ps figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0209098 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0209098 | |
| dc.identifier | Gen.Rel.Grav. 34 (2002) 1625-1635 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34344 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Mathematical Physics | |
| dc.title | The stability of abstract boundary essential singularities | |
| dc.type | text |