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 $n_1,n_2$, 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.

References in corpus (2)

• Discrete Gravity
• Scalar Curvature in Discrete Gravity

Cited by in corpus (3)

• Black Hole in Discrete Gravity
• Poincare Invariance in Discrete Gravity
• Curvature of an Arbitrary Surface for Discrete Gravity and for $d=2$ Pure Simplicial Complexes