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I am looking for an introduction (textbook or paper, or if someone wouldn't mind writing a memo on it) to canonical quantum gravity, specifically the concept of minisuperspaces. I have been reading the paper of Wheeler (in Phys Review) but he doesn't speak about minisuperspaces, maybe they were not used/invented at the time.

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Minisuperspaces are briefly described in the reference (Jonathan Haliwell's Introductory Lectures on Quantum Cosmology) provided by the OP in this question. –  twistor59 Apr 27 '12 at 18:33
    
Thanks, seems exactly what I was looking for. –  toot Apr 27 '12 at 21:59
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2 Answers 2

Well, there's Bojowald's Canonical Gravity and Applications.

For mini-superspace, hmm...Thiemann's book might be good. I know Kiefer's Quantum Gravity discusses it a bit, and contains good references therein.

  • For midi-superspace models, there's a review article: Barbero and Villaseñor's Quantization of Midisuperspace Models.

  • There's also Misner's "Minisuperspace" (in JR Klauder, ed., Magic Without Magic: John Archibald Wheeler. A Collection of Essays in Honor of his Sixtieth Birthday, pp. 441–473).

  • Ashtekar et al.'s "Minisuperspaces: Observables and Quantization" arXiv:gr-qc/9302027.

I think these should get you a good overview...

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How about http://www.amazon.com/Canonical-Relativity-Cambridge-Monographs-Mathematical/dp/0521741874, Modern Canonical Quantum General Relativity (Cambridge Monographs on Mathematical Physics), Thiemann?

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