Curvature tensor in discrete gravity

被引:1
|
作者
Chamseddine, Ali H. [1 ]
Malaeb, Ola [1 ,2 ]
Najem, Sara [1 ,2 ]
机构
[1] Amer Univ Beirut, Dept Phys, Beirut, Lebanon
[2] Amer Univ Beirut, Ctr Adv Math Sci, Beirut, Lebanon
来源
EUROPEAN PHYSICAL JOURNAL C | 2023年 / 83卷 / 10期
基金
美国国家科学基金会;
关键词
D O I
10.1140/epjc/s10052-023-12061-1
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study numerically the curvature tensor in a three-dimensional discrete space. Starting from the continuous metric of a three-sphere, we transformed it into a discrete space using three integers n(1),n(2), and n(3). The numerical results are compared with the expected values in the continuous limit. We show that as the number of cells in the lattice increases, the continuous limit is recovered.
引用
收藏
页数:10
相关论文
共 50 条
  • [31] Pseudo Z-symmetric spacetimes with harmonic conformal curvature tensor in F(R)-gravity
    Zengin, Fuesun Ozen
    De, Uday Chand
    Demirbag, Sezgin Altay
    JOURNAL OF GEOMETRY AND PHYSICS, 2023, 189
  • [32] Noether symmetries of some homogeneous universe models in curvature corrected scalar-tensor gravity
    Sharif, M.
    Waheed, Saira
    JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2013, (02):
  • [33] Spacetimes admitting concircular curvature tensor in f(R) gravity (vol 9, 800060, 2022)
    De, U. C.
    Shenawy, S.
    Abu-Donia, H. M.
    Turki, N. B.
    Alsaeed, S.
    Syied, A. A.
    FRONTIERS IN PHYSICS, 2022, 10
  • [34] Tensor-tensor model of gravity
    M. Y. Gogberashvili
    Theoretical and Mathematical Physics, 1997, 113 : 1572 - 1581
  • [35] Tensor-tensor model of gravity
    Gogberashvili, MY
    THEORETICAL AND MATHEMATICAL PHYSICS, 1997, 113 (03) : 1572 - 1581
  • [36] Gravity as Spacetime Curvature
    Torretti R.
    Physics in Perspective, 2000, 2 (2) : 118 - 134
  • [37] Q curvature and gravity
    Chernicoff, Mariano
    Giribet, Gaston
    Grandi, Nicolas
    Lavia, Edmundo
    Oliva, Julio
    PHYSICAL REVIEW D, 2018, 98 (10)
  • [38] The gravity field and curvature
    Jung, F
    PHYSIKALISCHE ZEITSCHRIFT, 1919, 20 : 274 - 280
  • [39] Tensor Galileons and gravity
    Chatzistavrakidis, Athanasios
    Khoo, Fech Scen
    Roest, Diederik
    Schupp, Peter
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (03):
  • [40] Tensor Galileons and gravity
    Athanasios Chatzistavrakidis
    Fech Scen Khoo
    Diederik Roest
    Peter Schupp
    Journal of High Energy Physics, 2017