Regular Article - Theoretical Physics
Scalar curvature in discrete gravity
Department of Physics, American University of Beirut, Beirut, Lebanon
2 Center for Advanced Mathematical Sciences, American University of Beirut, Beirut, Lebanon
Accepted: 8 July 2022
Published online: 27 July 2022
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.
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