Scalar Curvature in Discrete Gravity
High Energy Physics - Theory
2022-08-02 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Computational Physics
Abstract
We focus on studying, numerically, the scalar curvature tensor in a two-dimensional discrete space. The continuous metric of a two-sphere is transformed into that of a lattice using two possible slicings. In the first, we use two integers, while in the second we consider the case where one of the coordinates is ignorable. The numerical results of both cases are then compared with the expected values in the continuous limit as the number of cells of the lattice becomes very large.
Cite
@article{arxiv.2205.04707,
title = {Scalar Curvature in Discrete Gravity},
author = {Ali H. Chamseddine and Ola Malaeb and Sara Najem},
journal= {arXiv preprint arXiv:2205.04707},
year = {2022}
}