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/s10052-022-10605-5

Additional details

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