Quantum Cosmology for a Quadratic Theory of Gravity

Abstract

For pure fourth order ($\mathcal{L}\propto R^2$) quantum cosmology the Wheeler-DeWitt equation is solved exactly for the closed homogeneous and isotropic model. It is shown that by imposing as boundary condition that $\Psi =0$ at the origin of the universe the wave functions behave as suggested by Vilenkin.

13 pages, latex,no figures

References in corpus (2)

• Geometry of the 2+1 Black Hole
• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields

Cited by in corpus (7)

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• Supersymmetric higher-derivative models in quantum cosmology