Existence and uniqueness theorems for massless fields on a class of spacetimes with closed timelike curves

@inproceedings{Friedman2008ExistenceAU,
  title={Existence and uniqueness theorems for massless fields on a class of spacetimes with closed timelike curves},
  author={John L. Friedman and Michael D. S. Morris},
  year={2008}
}
We study the massless scalar field on asymptotically flat spacetimes with closed timelike curves (CTC's), in which all future-directed CTC's traverse one end of a handle (wormhole) and emerge from the other end at an earlier time. For a class of static geometries of this type, and for smooth initial data with all derivatives in L 2 on I − , we prove existence of smooth solutions 1 which are regular at null and spatial infinity (have finite energy and finite L 2-norm) and have the given initial… CONTINUE READING

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