Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe

Details Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe

2004-09-08

arxiv.org/abs/gr-qc/0409039v2

Living Rev.Rel.8:1,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

61 pages, draft of review for Living Reviews; comments, criticisms, additions, missing references welcome; v2: minor changes,

Scientific paper

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.

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