Spherically symmetric quantum geometry: Hamiltonian constraint

被引:119
作者
Bojowald, Martin [1 ]
Swiderski, Rafal [1 ]
机构
[1] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, Germany
关键词
D O I
10.1088/0264-9381/23/6/015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Variables adapted to the quantum dynamics of spherically symmetric models are introduced, which further simplify the spherically symmetric volume operator and allow an explicit computation of all matrix elements of the Euclidean and Lorentzian Hamiltonian constraints. The construction fits completely into the general scheme available in loop quantum gravity for the quantization of the full theory as well as symmetric models. This then presents a further consistency check of the whole scheme in inhomogeneous situations, lending further credence to the physical results obtained so far mainly in homogeneous models. New applications in particular of the spherically symmetric model in the context of black hole physics are discussed.
引用
收藏
页码:2129 / 2154
页数:26
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