3 papers
gr-qc2000
Triad representation of the Chern-Simons state in quantum gravity
Robert Paternoga, Robert Graham
We investigate a triad representation of the Chern-Simons state of quantum gravity with a non-vanishing cosmological constant. It is shown that the Chern-Simons state, which is a w…
gr-qc1998
The Chern-Simons state for the non-diagonal Bianchi IX model
Robert Paternoga, Robert Graham
The Bianchi IX mixmaster model is quantized in its non-diagonal form, imposing spatial diffeomorphism, time reparametrization and Lorentz invariance as constraints on physical stat…
gr-qc1996
Physical states of Bianchi type IX quantum cosmologies described by the Chern-Simons functional
Robert Graham, Robert Paternoga
A class of exact solutions of the Wheeler-DeWitt equation for diagonal Bianchi type IX cosmologies with cosmological constant is derived in the metric representation. This class co…