CONFORMAL TRANSFORMATION OF EQUIVALENCE IN QUANTUM COSMOLOGY

Stefan Reuter

Key words: Quantum Cosmology, Higher Order Gravity

1991 Math. Subject Classification: 83C45 Quantization of the
        gravitational field.

Abstract:
The theorem of conformal equivalence points out conditions under which the
Einstein Lagrangian plus scalar field can be transformed conformally into
a Lagrangian of higher order. Here the conformal equivalence is
investigated for the Friedman model if both theories are quantized.
Therefore we introduce an intrinsic formalism to quantize the higher
order theory in the framework of the Hamiltonian formalism.