TL;DR
This paper reviews higher-derivative quantum cosmology derived from string theory, introduces a new Wheeler-DeWitt equation with dilaton coupling, and discusses solutions and implications for inflationary models.
Contribution
It presents a novel Wheeler-DeWitt equation for higher-derivative gravity with dilaton coupling from string theory and explores solution techniques and cosmological implications.
Findings
Derived a new Wheeler-DeWitt equation with dilaton coupling
Outlined methods for solving the equation with boundary conditions
Discussed implications for inflationary cosmology
Abstract
The quantum cosmology of a higher-derivative derivative gravity theory arising from the heterotic string effective action is reviewed. A new type of Wheeler-DeWitt equation is obtained when the dilaton is coupled to the quadratic curvature terms. Techniques for solving the Wheeler-DeWitt equation with appropriate boundary conditions shall be described, and implications for semiclassical theories of inflationary cosmology will be outlined.
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