Proper curvature collineations in Kantowski-Sachs and Bianchi type III spacetimes

被引:16
|
作者
Shabbir, Ghulam [1 ]
Mehmood, Abu Bakar [1 ]
机构
[1] GIK Inst Engn Sci & Technol, Fac Engn Sci, Topi Swabi, Pakistan
关键词
curvature collineations; bivectors; rank of the 6 x 6 Riemann matrix;
D O I
10.1142/S0217732307021263
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A study of Kantowski-Sachs and Bianchi type III spacetimes according to their proper curvature collineations is given by using the rank of the 6 x 6 Riemann matrix and direct integration techniques. It is shown that when the above spacetimes admit proper curvature collineations, they form an infinite dimensional vector space.
引用
收藏
页码:807 / 817
页数:11
相关论文
共 50 条
  • [1] Proper projective symmetry in kantowski-sachs and bianchi type III spacetimes
    Shabbir, Ghulam
    Ali, Amjad
    [J]. MODERN PHYSICS LETTERS A, 2007, 22 (29) : 2209 - 2216
  • [2] Matter collineations in Kantowski-Sachs, Bianchi types I and III spacetimes
    Camci, U
    Sharif, M
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2003, 35 (01) : 97 - 109
  • [3] Ricci collineations of the Bianchi types I and III, and Kantowski-Sachs spacetimes
    Camci, U
    Baysal, H
    Tarhan, I
    Yilmaz, I
    Yavuz, I
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2001, 10 (05): : 751 - 765
  • [4] Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes
    U. Camci
    M. Sharif
    [J]. General Relativity and Gravitation, 2003, 35 : 97 - 109
  • [5] Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III spacetimes
    Apostolopoulos, PS
    Tsamparlis, M
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2003, 35 (10) : 1869 - 1876
  • [6] PROPER WEYL COLLINEATIONS IN KANTOWSKI-SACHS AND BIANCHI TYPE III SPACE-TIMES
    Shabbir, G.
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2007, 69 (02): : 45 - 48
  • [7] Comment: Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes
    Pantelis S. Apostolopoulos
    Michael Tsamparlis
    [J]. General Relativity and Gravitation, 2003, 35 : 1869 - 1876
  • [8] Classifications of Kantowski-Sachs, Bianchi types I and III spacetimes according to Ricci collineations
    Camci, U
    Yavuz, I
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2003, 12 (01): : 89 - 100
  • [9] Ricci inheritance collineations in Kantowski-Sachs spacetimes
    Hussain, Tahir
    Musharaf, Aisha
    Khan, Suhail
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (05)
  • [10] Constant mean curvature slicings of Kantowski-Sachs spacetimes
    Heinzle, J. Mark
    [J]. PHYSICAL REVIEW D, 2011, 83 (08):