Bouncing evolution in a model of loop quantum gravity
| Autor: | Zhang, Cong, Lewandowski, Jerzy, Li, Haida, Ma, Yongge |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 99, 124012 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.99.124012 |
| Popis: | To understand the dynamics of loop quantum gravity, the deparametrized model of gravity coupled to a scalar field is studied in a simple case, where the graph underlying the spin network basis is one loop based at a single vertex. The Hamiltonian operator $\hat{H}_v$ is chosen to be graph-preserving, and the matrix elements of $\hat{H}_v$ are explicitly worked out in a suitable basis. The non-trivial Euclidean part $\hat{H}_v^E$ of $\hat{H}_v$ is studied in details. It turns out that by choosing a specific symmetrization of $\hat{H}_v^E$, the dynamics driven by the Hamiltonian gives a picture of bouncing evolution. Our result in the model of full loop quantum gravity gives a significant echo of the well-known quantum bounce in the symmetry-reduced model of loop quantum cosmology, which indicates a closed relation between singularity resolution and quantum geometry. Comment: 27 pages, 7 figures |
| Databáze: | arXiv |
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