摘要: The authors investigate the quantum cosmology of spatially locally homogeneous cosmological models with flat compact spatial surfaces in three and four spacetime dimensions. In (2+1) dimensions only possible are 2-torus Klein bottle, whereas (3+1) there ten surfaces. metric ansatz is kept its most general form compatible Hamiltonian mini-superspace dynamics. They find that no-boundary proposal Hartle Hawking (1983) applicable, at semiclassical level, both (2+1)-dimensional but six (3+1)-dimensional models.
harvard.edu
core.ac.uk 
sci-hub.se 参考文章(51)
Claudio Teitelboim, Quantum mechanics of the gravitational field Physical Review D. ,vol. 25, pp. 3159- 3179 ,(1982) , 10.1103/PHYSREVD.25.3159
B. Carter, J. B. Hartle, Gravitation in astrophysics, Cargèse, 1986 Plenum Press. ,(1987)
R. T. Jantzen, Variational principles in cosmology. Il Nuovo Cimento B. ,vol. 55, pp. 161- 172 ,(1980) , 10.1007/BF02739151
Jonathan J. Halliwell, Decoherence in quantum cosmology Physical Review D. ,vol. 39, pp. 2912- 2923 ,(1989) , 10.1103/PHYSREVD.39.2912
A Ashtekar, V Husain, C Rovelli, J Samuel, L Smolin, 2+1 quantum gravity as a toy model for the 3+1 theory Classical and Quantum Gravity. ,vol. 6, ,(1989) , 10.1088/0264-9381/6/10/001
C J Isham, Quantum topology and quantisation on the lattice of topologies Classical and Quantum Gravity. ,vol. 6, pp. 1509- 1534 ,(1989) , 10.1088/0264-9381/6/11/007
Alexander Vilenkin, Interpretation of the wave function of the Universe. Physical Review D. ,vol. 39, pp. 1116- 1122 ,(1989) , 10.1103/PHYSREVD.39.1116
M.J Duncan, Lars Gerhard Jensen, Is the universe euclidean Nuclear Physics. ,vol. 328, pp. 171- 189 ,(1989) , 10.1016/0550-3213(89)90098-9
Marc Henneaux, Martin Pilati, Claudio Teitelboim, Explicit solution for the zero signature (strong-coupling) limit of the propagation amplitude in quantum gravity Physics Letters B. ,vol. 110, pp. 123- 128 ,(1982) , 10.1016/0370-2693(82)91019-X
Jonathan J. Halliwell, Jorma Louko, Steepest-descent contours in the path-integral approach to quantum cosmology. II. Microsuperspace Physical Review D. ,vol. 40, pp. 1868- 1875 ,(1989) , 10.1103/PHYSREVD.40.1868