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
A J Fleming and S O R Moheimani 2003 Smart Mater. Struct. 12 36
Tao Dai et al 2008 Physiol. Meas. 29 S77
C Nonaka et al 2005 J. Phys. G: Nucl. Part. Phys. 31 S429
A Quirantes and A V Delgado 1997 J. Phys. D: Appl. Phys. 30 2123
K Hoshino and M Watabe 1978 J. Phys. C: Solid State Phys. 11 1381
A A Madej et al 2004 Metrologia 41 152
Herman Groepenhoff et al 2007 Physiol. Meas. 28 1
A de Vries 2000 Class. Quantum Grav. 17 123
L Coslovi et al 1979 J. Phys. E: Sci. Instrum. 12 216