Scalar curvature operator for quantum-reduced loop gravity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866912139716853760 |
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| author | Lewandowski, Jerzy Mäkinen, Ilkka |
| author_facet | Lewandowski, Jerzy Mäkinen, Ilkka |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_04826 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Scalar curvature operator for quantum-reduced loop gravity Lewandowski, Jerzy Mäkinen, Ilkka General Relativity and Quantum Cosmology 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. |
| title | Scalar curvature operator for quantum-reduced loop gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2211.04826 |