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arXiv · 2305.00197

Curvature Tensor in Discrete Gravity

Ali H. Chamseddine·Ola Malaeb·Sara Najem
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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 $n_1, n_2$, 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.

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Ali H. Chamseddine, Ola Malaeb, Sara Najem. 2023-04-29. Curvature Tensor in Discrete Gravity. https://doi.org/10.1140/epjc%2Fs10052-023-12061-1

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