Curvature Tensor in Discrete Gravity
High Energy Physics - Theory
2026-01-07 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Computational Physics
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 , and . 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.
Cite
@article{arxiv.2305.00197,
title = {Curvature Tensor in Discrete Gravity},
author = {Ali H. Chamseddine and Ola Malaeb and Sara Najem},
journal= {arXiv preprint arXiv:2305.00197},
year = {2026}
}