https://doi.org/10.1140/epjc/s10052-023-12061-1
Regular Article - Theoretical Physics
Curvature tensor in discrete gravity
1
Department of Physics, American University of Beirut, Beirut, Lebanon
2
Center for Advanced Mathematical Sciences, American University of Beirut, Beirut, Lebanon
Received:
4
May
2023
Accepted:
22
September
2023
Published online:
5
October
2023
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.
© The Author(s) 2023
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