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

James E. Lidsey
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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.

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James E. Lidsey. 1993-12-16. Solutions to the Wheeler-Dewitt Equation Inspired by the String Effective Action. https://doi.org/10.1088/0264-9381%2F11%2F5%2F009

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