A note on some perfect fluid Kantowski-Sachs and Bianchi type III spacetimes and their conformal vector fields in f(R) theory of gravity

被引：28
作者：
Shabbir, Ghulam [1 ]
Hussain, Fiaz [2 ]
Kara, A. H. [3 ,4 ]
Ramzan, Muhammad [2 ]
机构：
[1] GIK Inst Engn Sci & Technol, Fac Engn Sci, Swabi, Kpk, Pakistan
[2] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan
[3] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa
[4] Univ Witwatersrand, DST NRF Ctr Excellence Math, ZA-2050 Johannesburg, South Africa
来源：
MODERN PHYSICS LETTERS A | 2019年 / 34卷 / 11期
关键词：
Direct integration technique; conformal vector fields in f(R) theory of gravity; perfect fluid; TELEPARALLEL THEORY; KILLING VECTORS; CLASSIFICATION; TIMES; COLLINEATIONS; SYMMETRY; UNIVERSE;
D O I：
10.1142/S0217732319500792
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The purpose of this paper is to find conformal vector fields of some perfect fluid Kantowski-Sachs and Bianchi type III spacetimes in the f(R) theory of gravity using direct integration technique. In this study, there exist only eight cases. Studying each case in detail, we found that in two cases proper conformal vector fields exist while in the rest of the cases, conformal vector fields become Killing vector fields. The dimension of conformal vector fields is either 4 or 6.
引用
收藏
页数：10
相关论文
共 39 条
  • [11] Symmetry structure of a wave equation on some classes of Bianchi cosmological models
    Jamal, S.
    Kara, A. H.
    Narain, R.
    Shabbir, G.
    [J]. INDIAN JOURNAL OF PHYSICS, 2015, 89 (04) : 411 - 416
  • [12] Wave Equations in Bianchi Space-Times
    Jamal, S.
    Kara, A. H.
    Narain, R.
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [13] Geometric properties of the Kantowski-Sachs and Bianchi-type Killing algebra in relation to a Klein-Gordon equation
    Jamal, Sameerah
    Shabbir, Ghulam
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (02):
  • [14] SOME SPATIALLY HOMOGENEOUS ANISOTROPIC RELATIVISTIC COSMOLOGICAL MODELS
    KANTOWSKI, R
    SACHS, RK
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1966, 7 (03) : 443 - +
  • [15] Concircular vector fields for Kantowski Sachs and Bianchi type-III spacetimes
    Khan, Suhail
    Mahmood, Amjad
    Ali, Ahmad T.
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (08)
  • [16] Conformal killing vectors of plane symmetric four dimensional lorentzian manifolds
    Khan, Suhail
    Hussain, Tahir
    Bokhari, Ashfaque H.
    Khan, Gulzar Ali
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2015, 75 (11): : 1 - 9
  • [17] KINEMATIC AND DYNAMIC PROPERTIES OF CONFORMAL KILLING VECTORS IN ANISOTROPIC FLUIDS
    MAARTENS, R
    MASON, DP
    TSAMPARLIS, M
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (12) : 2987 - 2994
  • [18] NOJIRI S, 2008, PROBLEMS MODERN THEO
  • [19] Introduction to modified gravity and gravitational alternative for dark energy
    Nojiri, Shin'ichi
    Odintsov, Sergei D.
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2007, 4 (01) : 115 - 145
  • [20] Accelerating universe in modified theories of gravity
    Paul, B. C.
    Debnath, P. S.
    Ghose, S.
    [J]. PHYSICAL REVIEW D, 2009, 79 (08):
1234