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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.05667 |
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| _version_ | 1866910361131679744 |
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| author | Oliveira-Neto, G. Júnior, A. Oliveira Castro Monerat, G. A. |
| author_facet | Oliveira-Neto, G. Júnior, A. Oliveira Castro Monerat, G. A. |
| contents | We apply quantum cosmology to investigate the early moments of a Friedmann-Lemaître-Robertson-Walker (FLRW) cosmological model, using Hořava-Lifshitz (HL) as the gravitational theory. The matter content of the model is a dust perfect fluid. We start studying the classical model. Then, we write the total Hamiltonian of the model, quantize it and find the appropriate Wheeler-DeWitt equation. In order to avoid factor ordering ambiguities, in the Wheeler-DeWitt equation, we introduce a canonical transformation. We solve that equation using the Wentzel-Kramers-Brillouin (WKB) approximation and compute the tunneling probabilities for the birth of that universe ($TP_{WKB}$). Since the WKB wavefunction depends on the dust energy and the free coupling constants coming from the HL theory, we compute the behavior of $TP_{WKB}$ as a function of all these quantities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05667 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Primordial dust universe in the Hořava-Lifshitz theory Oliveira-Neto, G. Júnior, A. Oliveira Castro Monerat, G. A. General Relativity and Quantum Cosmology We apply quantum cosmology to investigate the early moments of a Friedmann-Lemaître-Robertson-Walker (FLRW) cosmological model, using Hořava-Lifshitz (HL) as the gravitational theory. The matter content of the model is a dust perfect fluid. We start studying the classical model. Then, we write the total Hamiltonian of the model, quantize it and find the appropriate Wheeler-DeWitt equation. In order to avoid factor ordering ambiguities, in the Wheeler-DeWitt equation, we introduce a canonical transformation. We solve that equation using the Wentzel-Kramers-Brillouin (WKB) approximation and compute the tunneling probabilities for the birth of that universe ($TP_{WKB}$). Since the WKB wavefunction depends on the dust energy and the free coupling constants coming from the HL theory, we compute the behavior of $TP_{WKB}$ as a function of all these quantities. |
| title | Primordial dust universe in the Hořava-Lifshitz theory |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.05667 |