Timeline for answer to Coordinate systems in General Relativity by yess
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| Mar 30, 2017 at 18:38 | comment | added | user12262 | yess: "is something like this { D.B.Malament, The class of continuous timelike curves determines the topology of spacetime } what you have in mind?" -- Upon taking a closer look at it: yes, indeed, thanks for the suggestion! (From the first sentence: $$\text{Suppose one has two spacetimes } (M,g)\text{ and } (M',g')\text{ together with a bijection ...},$$ as well as from summaries elsewhere, I had been under the wrong impression that Malament's results required detailed knowledge of $g$, and not just of "observational causal relations".) | |
| Mar 30, 2017 at 3:04 | comment | added | yess | is something like this aip.scitation.org/doi/10.1063/1.523436 what you have in mind? | |
| Mar 30, 2017 at 2:53 | history | edited | yess | CC BY-SA 3.0 |
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| Mar 29, 2017 at 17:19 | comment | added | user12262 | yess: "Given a $n+1$ dim. manifold $M$ one by definition ha[s] charts or coordinates that are homeomorphic to $\mathbb R^{n+1}$." -- True. But the OP doesn't necessarily presume manifolds which are given so specificly. What is given instead? (@user1620696 may clarify.) Meanwhile my own take: Given is a set of events together with "physical data" (identities of observers $\gamma$, their coincidence events, their (past) lightcones), and: the assumption or promise that some Lorentzian topology can be determined uniquely for this event set, from this data. Then: By which method, explicitly?? | |
| Mar 28, 2017 at 22:31 | history | edited | yess | CC BY-SA 3.0 |
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| Mar 24, 2017 at 15:08 | history | edited | yess | CC BY-SA 3.0 |
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| Mar 24, 2017 at 4:40 | history | edited | yess | CC BY-SA 3.0 |
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| Mar 24, 2017 at 3:37 | history | answered | yess | CC BY-SA 3.0 |