Scalar curvature operator for quantum-reduced loop gravity

被引:1
|
作者
Lewandowski, Jerzy [1 ]
Makinen, Ilkka [1 ,2 ]
机构
[1] Univ Warsaw, Fac Phys, Pasteura 5, PL-02093 Warsaw, Poland
[2] Natl Ctr Nucl Res, Pasteura 7, PL-02093 Warsaw, Poland
关键词
CONSISTENCY CHECK; QUANTIZATION; VOLUME;
D O I
10.1103/PhysRevD.107.126017
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In a previous article we have introduced an operator representing the three-dimensional scalar curvature in loop quantum gravity. In this article we examine the new curvature operator in the setting of quantum-reduced loop gravity. We derive the explicit form of the curvature operator as an operator on the Hilbert space of the quantum-reduced model. As a simple practical example, we study the expectation values of the operator with respect to basis states of the reduced Hilbert space.
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页数:20
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