Solutions to the Wheeler-Dewitt Equation Inspired by the String Effective Action
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
The Wheeler-DeWitt equation is derived from the bosonic sector of the heterotic string effective action assuming a toroidal compactification. The spatially closed, higher dimensional Friedmann-Robertson-Walker (FRW) cosmology is investigated and a suitable change of variables rewrites the equation in a canonical form. Real- and imaginary-phase exact solutions are found and a method of successive approximations is employed to find more general power series solutions. The quantum cosmology of the Bianchi IX universe is also investigated and a class of exact solutions is found.
Cite
@article{arxiv.gr-qc/9312026,
title = {Solutions to the Wheeler-Dewitt Equation Inspired by the String Effective Action},
author = {James E. Lidsey},
journal= {arXiv preprint arXiv:gr-qc/9312026},
year = {2010}
}
Comments
21 pages of plain LaTeX, Fermilab-Pub-93/100-A