Published 2022
| Version v1
Journal article
Scalar curvature 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)
Description
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.
Availability note (English)
Available from: http://dx.doi.org/10.1140/epjc/s10052-022-10605-5Additional details
Identifiers
Publishing Information
- Journal Title
- European Physical Journal. C, Particles and Fields (Online)
- Journal Volume
- 82
- Journal Issue
- 7
- Journal Page Range
- vp.
- ISSN
- 1434-6052
- CODEN
- EPCFFB
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 53109897
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- GRAVITATION; SCALARS; SPACE; TWO-DIMENSIONAL SYSTEMS
- Descriptors DEC
- CRYSTAL LATTICES; CRYSTAL STRUCTURE
Optional Information
- Notes
- AID: 651