Solutions to the Wheeler-Dewitt Equation Inspired by the String Effective Action

Details Solutions to the Wheeler-Dewitt Equation Inspired by the String Effective Action Solutions to the Wheeler-Dewitt Equation Inspired by the String Effective Action

1993-12-16

arxiv.org/abs/gr-qc/9312026v1

Class.Quant.Grav.11:1211-1224,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages of plain LaTeX, Fermilab-Pub-93/100-A

Scientific paper

10.1088/0264-9381/11/5/009

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.

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