Scalar curvature operator for quantum-reduced loop gravity
| Autor: | Lewandowski, Jerzy, Mäkinen, Ilkka |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.107.126017 |
| Popis: | 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. Comment: v2: Minor clarifications added. Version accepted for publication. v1: 31 pages, 4 figures |
| Databáze: | arXiv |
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