Wave function of the Universe and Chern-Simons Perturbation Theory
General Relativity and Quantum Cosmology
2009-11-07 v3 Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0109046,
title = {Wave function of the Universe and Chern-Simons Perturbation Theory},
author = {Chopin Soo},
journal= {arXiv preprint arXiv:gr-qc/0109046},
year = {2009}
}
Comments
10 pages, RevTeX