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What's known about QFT (or even QM) on fixed, but non-Minkowski spacetimes such as the cosmological Robertson-Walker background defined by:

$ ds^2 = c^2 dt^2 - a(t)^2 * (dx^2 + dy^2 + dz^2) $

By fixed I mean that the dynamics of the system does not influnce the spacetime, ie. $a(t)$ is a fixed function such as $exp(t)$ for a lambda dominated Universe.

Any non-stringy references would be appreciated.

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Sorry, what do you exactly want to know? The realm of questions you described involves pretty much all modern cosmology. Almost all modern cosmology is described via QFT on cosmological spaces such as those you mentioned. Like all discussions of particle production in inflation etc. etc. uses these methods. – Luboš Motl Oct 25 '12 at 8:21
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Have you tried this, or any of a handfull of books on the topic? books.google.co.uk/… – MBN Oct 25 '12 at 9:55
@MBN Thanks for the pointer on that book, it looks like a great starting point! – mtrencseni Oct 25 '12 at 12:07

closed as not a real question by Qmechanic♦, Manishearth♦, Sklivvz♦ Dec 27 '12 at 16:37

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