Quantization of the Taub model with extrinsic time

GABRIEL CATREN; RAFAEL FERRARO

PHYSICAL REVIEW D - PARTICLE AND FILDS

American Physical Society

Lugar: New York; Año: 2001 vol. 63 p. 235021 - 235027

0556-2821

The paper addresses the quantization of cosmological models, with application to the Taub model. By reducing the model with extrinsic time, a formalism is developed in order to define a conserved Schrödinger inner product in the space of solutions of the Wheeler-DeWitt equation. A quantum version of classical canonical transformations is introduced for connecting the solutions of the Wheeler-DeWitt equation with the wave functions of the reduced system. Once this correspondence is established, boundary conditions on the space of solutions of the Wheeler-DeWitt equation are obtained to directly select the physical subspace.