This exploration of the global structure of spacetime within the
context of general relativity examines the causal and singular
structures of spacetime, revealing some of the curious
possibilities that are compatible with the theory, such as 'time
travel' and 'holes' of various types. Investigations into the
epistemic and modal structures of spacetime highlight the
difficulties in ruling out such possibilities, unlikely as they may
seem at first. The upshot seems to be that what counts as a
'physically reasonable' spacetime structure in modern physics is
far from clear.
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