Parallel translation in warped product spaces: application to the Reissner-Nordstrom spacetime

被引:1
|
作者
Raposo, AP [1 ]
Del Riego, L [1 ]
机构
[1] Univ Autonoma San Luis Potosi, Fac Ciencias, San Luis Potosi 78290, Mexico
关键词
D O I
10.1088/0264-9381/22/14/019
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A formal treatment of the parallel translation transformations in warped product manifolds is presented and related to those parallel translation transformations in each of the factor manifolds. A straightforward application to the Schwarzschild and Reissner-Nordstrom geometries, considered here as particular examples, explains some apparently surprising properties of the holonomy in these manifolds.
引用
收藏
页码:3105 / 3113
页数:9
相关论文
共 50 条
  • [1] Embedding the Reissner-Nordstrom spacetime in Euclidean and Minkowski spaces
    Jacob, Uri
    Piran, Tsvi
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (12) : 4035 - 4045
  • [2] Noncommutative Corrections of a Reissner-Nordstrom Spacetime
    Soto-Campos, Carlos A.
    Zeron-Jimenez, Ivan
    [J]. IX WORKSHOP OF THE GRAVITATION AND MATHEMATICAL PHYSICS DIVISION OF THE MEXICAN PHYSICAL SOCIETY, 2012, 1473 : 212 - 222
  • [3] Spinning particles in Reissner-Nordstrom spacetime
    Ali, MH
    Ahmed, M
    [J]. ANNALS OF PHYSICS, 2000, 282 (02) : 157 - 166
  • [4] Embedding diagrams for the Reissner-Nordstrom spacetime
    Paranjape, A
    Dadhich, N
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2004, 36 (05) : 1189 - 1195
  • [5] Wormhole deformation of the Reissner-Nordstrom spacetime
    Mehdizadeh, M. R.
    Ebrahimi, E.
    Riazi, N.
    [J]. ASTROPHYSICS AND SPACE SCIENCE, 2011, 336 (02) : 479 - 484
  • [6] Application of Explicit Symplectic Integrators in the Magnetized Reissner-Nordstrom Spacetime
    Hu, Ai-Rong
    Huang, Guo-Qing
    [J]. SYMMETRY-BASEL, 2023, 15 (05):
  • [7] On the conformal structure of the extremal Reissner-Nordstrom spacetime
    Luebbe, Christian
    Kroon, Juan Antonio Valiente
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (17)
  • [8] Reduction of the geometrical mass of the Reissner-Nordstrom spacetime
    Barbachoux, C
    Gariel, J
    Marcilhacy, G
    Santos, NO
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2002, 11 (08): : 1255 - 1263
  • [9] Special Finslerian generalization of the Reissner-Nordstrom spacetime
    Li, Xin
    [J]. PHYSICAL REVIEW D, 2018, 98 (08)
  • [10] A Class of Conformal Curves in the Reissner-Nordstrom Spacetime
    Luebbe, Christian
    Kroon, Juan Antonio Valiente
    [J]. ANNALES HENRI POINCARE, 2014, 15 (07): : 1327 - 1366