Curvature tensor in discrete gravity

被引：1

作者：

Chamseddine, Ali H. ^{[1
]}

Malaeb, Ola ^{[1
,2
]}

Najem, Sara ^{[1
,2
]}

机构：

[1] Amer Univ Beirut, Dept Phys, Beirut, Lebanon

[2] Amer Univ Beirut, Ctr Adv Math Sci, Beirut, Lebanon

来源：

EUROPEAN PHYSICAL JOURNAL C | 2023年 / 83卷 / 10期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1140/epjc/s10052-023-12061-1

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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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页数：10

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