Abstract
I investigate whether there are general relativistic spacetimes that allow an observerµ to collect in a finite time all the data from the worldline of another observerλ, where the proper length ofλ's worldline is infinite. The existence of these spacetimes has a bearing on certain problems in computation theory. A theorem shows that most standard spacetimes cannot accommodate this scenario. There are however spacetimes which can: anti-de Sitter spacetime is one example.
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Reference
S.W. Hawking and G.F.R. Ellis,The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, 1973).
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Hogarth, M.L. Does general relativity allow an observer to view an eternity in a finite time?. Found Phys Lett 5, 173–181 (1992). https://doi.org/10.1007/BF00682813
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DOI: https://doi.org/10.1007/BF00682813