Curvature tensor in discrete gravity
Abstract 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 $$n_1, n_2$$ n 1 , n 2 , and $$n_3$$ n 3 . The numerical results are compared with the expecte...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12061-1 |
| Summary: | Abstract 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 $$n_1, n_2$$ n 1 , n 2 , and $$n_3$$ 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. |
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| ISSN: | 1434-6052 |