Curvature Tensor in Discrete Gravity
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909982370299904 |
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| author | Chamseddine, Ali H. Malaeb, Ola Najem, Sara |
| author_facet | Chamseddine, Ali H. Malaeb, Ola Najem, Sara |
| contents | We study numerically the curvature tensor in a three-dimensional discrete space. Starting from the continuous metric of a three-sphere, we transformed it into a discrete space using three integers $n_1, n_2$, and $n_3$. The numerical results are compared with the expected values in the continuous limit. We show that as the number of cells in the lattice increases, the continuous limit is recovered. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2305_00197 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Curvature Tensor in Discrete Gravity Chamseddine, Ali H. Malaeb, Ola Najem, Sara High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Lattice Computational Physics We study numerically the curvature tensor in a three-dimensional discrete space. Starting from the continuous metric of a three-sphere, we transformed it into a discrete space using three integers $n_1, n_2$, and $n_3$. The numerical results are compared with the expected values in the continuous limit. We show that as the number of cells in the lattice increases, the continuous limit is recovered. |
| title | Curvature Tensor in Discrete Gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Lattice Computational Physics |
| url | https://arxiv.org/abs/2305.00197 |