Does general relativity allow an observer to view an eternity in a finite time?

@article{Hogarth1992DoesGR,
  title={Does general relativity allow an observer to view an eternity in a finite time?},
  author={Mark Hogarth},
  journal={Foundations of Physics Letters},
  year={1992},
  volume={5},
  pages={173-181}
}
  • M. Hogarth
  • Published 1 April 1992
  • Physics, Mathematics
  • Foundations of Physics Letters
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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References

The Large Scale Structure of Space-Time

The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.