Tuesday 5 June 2018

general relativity - Causal and Global structure of Penrose Diagrams


What kind of global and causal structures does a Penrose diagram reveal?


How do I see (using a Penrose diagram) that two different spacetimes have a similar global and causal structure?



Also,


I have the following metric


$$ds^2 ~=~ Tdv^2 + 2dTdv,$$


defined for


$$(v,T)~\in~ S^1\times \mathbb{R},$$


e.g. $v$ is periodic.


This is the according Penrose diagram:



Is the Penrose diagram that I have drawn correct?




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