Isotropic loop quantum cosmology

被引:189
|
作者
Bojowald, M [1 ]
机构
[1] Penn State Univ, Ctr Gravitat Phys & Geometry, Davey Lab 104, University Pk, PA 16802 USA
关键词
D O I
10.1088/0264-9381/19/10/313
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Isotropic models in loop quantum cosmology allow explicit calculations, thanks largely to a completely known volume spectrum, which is exploited in order to write down the evolution equation in a discrete internal time. Because of genuinely quantum geometrical effects, the classical singularity is absent in those models in the sense that the evolution does not break down there, contrary to the classical situation where spacetime is inextendible. This effect is generic and does not depend on matter violating energy conditions, but it does depend on the factor ordering of the Hamiltonian constraint. Furthermore, it is shown that loop quantum cosmology reproduces standard quantum cosmology and hence (e.g., via WKB approximation) classical behaviour in the large volume regime where the discreteness of space is insignificant. Finally, an explicit solution to the Euclidean vacuum constraint is discussed which is the unique solution with semiclassical behaviour representing quantum Euclidean space.
引用
收藏
页码:2717 / 2741
页数:25
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