Scalar curvature in discrete gravity
Abstract 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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10605-5 |
| _version_ | 1818162702362607616 |
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| author | Ali H. Chamseddine Ola Malaeb Sara Najem |
| author_facet | Ali H. Chamseddine Ola Malaeb Sara Najem |
| author_sort | Ali H. Chamseddine |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-11T16:37:52Z |
| format | Article |
| id | doaj.art-523c6a0b73ec4bdd9526e1274ddf89ca |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-12-11T16:37:52Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-523c6a0b73ec4bdd9526e1274ddf89ca2022-12-22T00:58:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-07-018271610.1140/epjc/s10052-022-10605-5Scalar curvature in discrete gravityAli H. Chamseddine0Ola Malaeb1Sara Najem2Department of Physics, American University of BeirutDepartment of Physics, American University of BeirutDepartment of Physics, American University of BeirutAbstract 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.https://doi.org/10.1140/epjc/s10052-022-10605-5 |
| spellingShingle | Ali H. Chamseddine Ola Malaeb Sara Najem Scalar curvature in discrete gravity European Physical Journal C: Particles and Fields |
| title | Scalar curvature in discrete gravity |
| title_full | Scalar curvature in discrete gravity |
| title_fullStr | Scalar curvature in discrete gravity |
| title_full_unstemmed | Scalar curvature in discrete gravity |
| title_short | Scalar curvature in discrete gravity |
| title_sort | scalar curvature in discrete gravity |
| url | https://doi.org/10.1140/epjc/s10052-022-10605-5 |
| work_keys_str_mv | AT alihchamseddine scalarcurvatureindiscretegravity AT olamalaeb scalarcurvatureindiscretegravity AT saranajem scalarcurvatureindiscretegravity |