Cosmological Dynamics from Covariant Loop Quantum Gravity with Scalar Matter
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929241924304896 |
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| author | Han, Muxin Liu, Hongguang Qu, Dongxue Vidotto, Francesca Zhang, Cong |
| author_facet | Han, Muxin Liu, Hongguang Qu, Dongxue Vidotto, Francesca Zhang, Cong |
| contents | We study homogenous and isotropic quantum cosmology using the spinfoam formalism of Loop Quantum Gravity (LQG). We define a coupling of a scalar field to the 4-dimensional Lorentzian Engle-Pereira-Rovelli-Livine (EPRL) spinfoam model. We employ the numerical method of complex critical points to investigate the model on two different simplicial complexes: the triangulations of a single hypercube and two connected hypercubes. We find nontrivial implications for the effective cosmological dynamics. In the single-hypercube model, the numerical results suggest an effective Friedmann equation with a scalar density that contains higher-order derivatives and a scalar potential. The scalar potential plays a role similar to a positive cosmological constant and drives an accelerated expansion of the universe. The double-hypercubes model resembles a symmetric cosmic bounce, and a similar effective Friedmann equation emerges with higher-order derivative terms in the effective scalar density, whereas the scalar potential becomes negligible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07984 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cosmological Dynamics from Covariant Loop Quantum Gravity with Scalar Matter Han, Muxin Liu, Hongguang Qu, Dongxue Vidotto, Francesca Zhang, Cong General Relativity and Quantum Cosmology We study homogenous and isotropic quantum cosmology using the spinfoam formalism of Loop Quantum Gravity (LQG). We define a coupling of a scalar field to the 4-dimensional Lorentzian Engle-Pereira-Rovelli-Livine (EPRL) spinfoam model. We employ the numerical method of complex critical points to investigate the model on two different simplicial complexes: the triangulations of a single hypercube and two connected hypercubes. We find nontrivial implications for the effective cosmological dynamics. In the single-hypercube model, the numerical results suggest an effective Friedmann equation with a scalar density that contains higher-order derivatives and a scalar potential. The scalar potential plays a role similar to a positive cosmological constant and drives an accelerated expansion of the universe. The double-hypercubes model resembles a symmetric cosmic bounce, and a similar effective Friedmann equation emerges with higher-order derivative terms in the effective scalar density, whereas the scalar potential becomes negligible. |
| title | Cosmological Dynamics from Covariant Loop Quantum Gravity with Scalar Matter |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2402.07984 |