Wave function of the Universe and Chern-Simons Perturbation Theory

Details Wave function of the Universe and Chern-Simons Perturbation Theory Wave function of the Universe and Chern-Simons Perturbation Theory

2001-09-13

arxiv.org/abs/gr-qc/0109046v3

Class.Quant.Grav. 19 (2002) 1051-1064

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, RevTeX

Scientific paper

10.1088/0264-9381/19/6/303

The Chern-Simons exact solution of four-dimensional quantum gravity with nonvanishing cosmological constant is presented in metric variable as the partition function of a Chern-Simons theory with nontrivial source. The perturbative expansion is given, and the wave function is computed to the lowest order of approximation for the Cauchy surface which is topologically a 3-sphere. The state is well-defined even at degenerate and vanishing values of the dreibein. Reality conditions for the Ashtekar variables are also taken into account; and remarkable features of the Chern-Simons state and their relevance to cosmology are pointed out.

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