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

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.

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

References in corpus (7)

• Noncompact Symmetries in String Theory
• Rotating Charged Black Hole Solution in Heterotic String Theory
• Manifestly $O(d,d)$ Invariant Approach to Space-Time Dependent String Vacua
• Supersymmetric Bianchi class A models
• Comments on Closed Bianchi Models
• Wormholes and symmetries of string effective action
• Monopoles and Instantons in String Theory

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