Abstract
AbstractWe 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.
Funder
National Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference8 articles.
1. G. ’t Hooft, M. Veltman, One loop divergencies in the theory of gravitation. Ann. Inst. H. Poincare Phys. Theor. A (1), 69 (1974)
2. T. Regge, General relativity without coordinates. Il Nuovo Cimento (1955–1965) 19(3), 558–571 (1961)
3. S. Catterall, J. Kogut, R. Renken. Phase structure of four dimensional simplicial quantum gravity. Phy. Lett. B 328(3–4), 277–283 (1994)
4. A.H. Chamseddine, V. Mukhanov. Discrete gravity. J. High Energy Phys. 2021(11), 1–13 (2021)
5. S. Weinberg, Ultraviolet divergences in quantum theories of gravitation. in General relativity (1979)
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