As to your question, I'm not able to provide an answer - haven't done GR yet

[it depends whether the axioms of SR do generalise naturally into GR - from this first look at this metric, it doesn't seem to]
It is also possible that I am your mother/father/grandfather. Have you considered that possibility yet? Or that everything that happens in the universe is actually due to fairies. Or that angels move objects in such a mathematical manner as to be able to be described by our current theories, and they might choose to change it anytime to 'suit' any other theory available.
What I'm trying to get at you is that, sure, anything's possible, but most 'possibilities', when tested, are shown not to occur. It was once thought that atoms were knots in the ether, but that was shown to be wrong. Let your imagination flourish, but I'd advise you not to think that possibility means inevitability, which is what you seem to be implying here. Not all science fiction will turn out to be true.
Or to use your example: Everyone thought the Earth was flat, and then they found it was a sphere. Well, why couldn't it be hyperbolic? Why couldn't it be a Klein bottle? Why couldn't it be a torus? Why couldn't it be various other shapes? - they're all possibilities. Sure, speculate all you want by assuming it's some possibility x, but it is not inevitable that your assumption is correct. But yes, if you indeed want to discuss time travel, and have to assume one of that, go ahead, but always be aware that it depends heavily on the assumption, which may turn out to be false after all
Now, what theory do you propose then, that has physical basis in our universe? (note: GR describes a set of universes, that certain solutions exist with interesting properties, e.g. wormholes, doesn't imply they exist in our universe) That's the big thing distinguishing science from science fiction, which seems to just take a problem, and proposes a miracle solution, and builds something upon it. Fair enough if they want to make stories out of it. But these miraculous solutions may turn out to be completely untrue, which is a more general point I'm trying to make here, and which is why I've been posting in this bloody thread so much

Yes, in a sense I'm saying they're irrelevant, because the existence of such a theory hasn't been shown yet, and even if it exists, FTL (we're making the assumption here that FTL means time travel - this might not be true either) might never be possible in all these theories, which is the point I'm trying to get at here really, and there are reasons for that, for one, causality, and wrecks the idea of entropy, mass-energy conservation, etc, etc... (again, assuming FTL does mean time travel, backwards). Sure these concepts might end up being replaced in the end, but the strength of a new scientific theory is that it is able to explain all previous phenomena explained by the scientific theory it succeeds, and be able to describe something new that the previous theory wasn't able to, i.e. it would still have to explain how those concepts I put up above still 'work' within its new framework.
This post has been edited by bgeh: Dec 22 2009, 10:05 AM