Time reparameterization in Bianchi type I spinor cosmology

Understand

The problem of time reparameterization is addressed at both the classical and quantum levels in a Bianchi-I universe in which the matter source is a massive Dirac spinor field.

• We take the scale factors of the metric as the intrinsic time and their conjugate momenta as the extrinsic time.
• A scalar character of the spinor field is identified as a representation of the extrinsic time.
• The construction of the field equations and quantization of the model is achieved by solving the Hamiltonian constraint after time identification has been dealt with.