The Effect of Higher-Order Curvature Terms on String Quantum Cosmology

Abstract

Several new results regarding the quantum cosmology of the quadratic gravity theory derived from the heterotic string effective action are presented. After describing techniques for solving the Wheeler-De Witt equation with appropriate boundary conditions, it is shown that this quantum cosmological model may be compared with semiclassical theories of inflationary cosmology. In particular, it should be possible to compute corrections to the standard inflationary model perturbatively about a stable exponentially expanding classical background.

24 pages, TeX. Several remarks on operator ordering, the complete computation of $H_1{\psi }_0$, and approximate solutions of the $a$ and $\Phi$ equations of motion, which are stable and exponentially expanding, have been included. Substantial revision of equations (5)-(7), (10)-(20) from version 2

References in corpus (15)

• Singularity-free cosmological solutions of the superstring effective action
• Instability of 1-loop superstring cosmology
• Singularity-free cosmological solutions in quadratic gravity
• Operator ordering and consistency of the wavefunction of the Universe
• Inflatonless inflation
• On the inflationary solutions in higher-derivative gravity with dilaton field
• Comparing selfinteracting scalar fields and R + R^3 cosmological models
• Massive Vector Mesons and Gauge Theory
• Singularities in a Scalar Field Quantum Cosmology
• Inhomogeneous Einstein-Rosen String Cosmology
• F-term inflation in Superstring Theories
• Birth of the Universe in string cosmology
• Higher-Derivative Quantum Cosmology
• Novel Instability in Superstring Cosmology
• Fermion Masses in Superstring Theory

Cited by in corpus (2)

• Canonical formulation of curvature squared action in the presence of lapse function
• The Quantum Cosmological Wavefunction at Very Early Times for a Quadratic Gravity Theory