Martin Bojowald et al 2004 Class. Quantum Grav. 21 1253 doi:10.1088/0264-9381/21/4/034
Martin Bojowald1,2, Ghanashyam Date3 and Kevin Vandersloot2
Show affiliationsHomogeneous cosmological models with non-vanishing intrinsic curvature require a special treatment when they are quantized with loop quantum cosmological methods. Guidance from the full theory which is lost in this context can be replaced by two criteria for an acceptable quantization, admissibility of a continuum approximation and local stability. A quantization of the corresponding Hamiltonian constraints is presented and shown to lead to a locally stable, non-singular evolution compatible with almost classical behaviour at large volume. As an application, the Bianchi IX model and its modified behaviour close to its classical singularity is explored.
Issue 4 (21 February 2004)
Received 4 November 2003
Published 27 January 2004
Martin Bojowald et al 2004 Class. Quantum Grav. 21 1253
David A W Barton et al 2005 Nonlinearity 18 2637
Paivi Simonen et al 1997 Physiol. Meas. 18 155
Sanjeev S Seahra and Paul S Wesson 2003 Class. Quantum Grav. 20 1321
Theodore W Burkhardt 1997 J. Phys. A: Math. Gen. 30 L167
Stephen O'Dell 2006 Inverse Problems 22 1579
B Verma et al 1980 J. Phys. D: Appl. Phys. 13 1605
S Y Tong and Huasheng Wu 2002 J. Phys.: Condens. Matter 14 1231
K Hoshino and M Watabe 1978 J. Phys. C: Solid State Phys. 11 1381
I S Heng et al 2002 Class. Quantum Grav. 19 1889