Classical and Quantum Solutions and the Problem of Time in $R^2$ Cosmology

Abstract

We have studied various classical solutions in $R^2$ cosmology. Especially we have obtained general classical solutions in pure $R^2$\ cosmology. Even in the quantum theory, we can solve the Wheeler-DeWitt equation in pure $R^2$\ cosmology exactly. Comparing these classical and quantum solutions in $R^2$\ cosmology, we have studied the problem of time in general relativity.

17 pages, latex, no figure, one reference is corrected

References in corpus (6)

• Stability and Hamiltonian formulation of higher derivative theories
• The Problem of Time and Quantum Black Holes
• Generalized Einstein Theory on Solar and Galactic Scales
• Quantum Cosmology for a Quadratic Theory of Gravity
• Classically Integrable Cosmological Models with a Scalar Field
• Rotation Curves of Spiral Galaxies and Large Scale Structure of Universe under Generalized Einstein Action

Cited by in corpus (5)

• Quadratic quantum cosmology with Schutz' perfect fluid
• de Broglie-Bohm Interpretation for the Wave Function of Quantum Black Holes
• Analytic Solutions of The Wheeler-DeWitt Equation in Spherically Symmetric Space-time
• Quantum cosmology of quadratic f(R) theories with a FRW metric
• Supersymmetric higher-derivative models in quantum cosmology