Notes on the (2+1)-Dimensional Wheeler-DeWitt Equation

Details Notes on the (2+1)-Dimensional Wheeler-DeWitt Equation Notes on the (2+1)-Dimensional Wheeler-DeWitt Equation

1993-09-02

arxiv.org/abs/gr-qc/9309002v1

Class.Quant.Grav.11:31-40,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX, UCD-93-25 and NSF-ITP-93-115

Scientific paper

10.1088/0264-9381/11/1/007

In contrast to other approaches to (2+1)-dimensional quantum gravity, the Wheeler-DeWitt equation appears to be too complicated to solve explicitly, even for simple spacetime topologies. Nevertheless, it is possible to obtain a good deal of information about solutions and their interpretation. In particular, strong evidence is presented that Wheeler-DeWitt quantization is not equivalent to reduced phase space quantization.

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