In three spacetime dimensions, general relativity drastically simplifies, becoming a ``topological'' theory with no propagating local degrees of freedom. Nevertheless, many of the difficult conceptual problems of quantizing gravity are still present. In this review, I summarize the rather large body of work that has gone towards quantizing (2+1)-dimensional vacuum gravity in the setting of a spatially closed universe.
Keywords: quantum gravity, quantum cosmology, 2+1 gravity
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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:
Steven Carlip,
"Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe",
Living Rev. Relativity 8, (2005), 1. URL (cited on <date>):
http://www.livingreviews.org/lrr-2005-1
ORIGINAL | http://www.livingreviews.org/lrr-2005-1 |
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Title | Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe |
Author | Steven Carlip |
Date | accepted 7 December 2004, published 24 January 2005 |