Timeline for On the topology induced by a Lorentzian metric
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 21 at 15:31 | comment | added | Bastam Tajik | Ok let me ask a better question. Lorentzian distance is not an analytic metric. The question is what sort of Mathematical object is it precisely? @StefanWaldmann | |
| Nov 2, 2023 at 9:19 | comment | added | Stefan Waldmann | @Bastam Tajik No, in general not. Already in the example I gave, it is not even Hausdorff. | |
| Nov 2, 2023 at 9:18 | history | edited | Stefan Waldmann | CC BY-SA 4.0 |
added 108 characters in body
|
| Aug 16, 2023 at 7:37 | comment | added | Bastam Tajik | @StefanWaldmann Very nice answer. Is such topology in general(not only for the strongly causal spacetimes) metric? | |
| Apr 11, 2017 at 14:28 | comment | added | Stefan Waldmann | @Willie Wong: yep, of course. This is the evidence from a more conceptual point of view. | |
| Apr 11, 2017 at 14:26 | vote | accept | Bilateral | ||
| Apr 11, 2017 at 14:13 | comment | added | Willie Wong | A few remarks: (a) by "this topology" it is meant the Alexandrov/Interval topology defined using the base $I^+(x)\cap I^-(y)$. (b) This topology can be defined on any causal space and does not require strictly a smooth Lorentzian structure (nor, for that matter, a manifold structure on the base). (c) The previous fact should be taken as evidence toward why this topology does not have to coincide with the manifold topology. | |
| Apr 11, 2017 at 14:02 | history | answered | Stefan Waldmann | CC BY-SA 3.0 |