Perfect fluid spacetimes with a purely magnetic Weyl tensor

被引:11
|
作者
Lozanovski, C [1 ]
McIntosh, CBG [1 ]
机构
[1] Monash Univ, Dept Math, Clayton, Vic 3168, Australia
关键词
purely magnetic spacetimes; exact solutions; perfect fluid;
D O I
10.1023/A:1026785010353
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a solution of the gravitational field equations which is similar in form to that given by Wainwright. Several cases are considered, in particular we find a general algebraic perfect fluid solution with equation of state p = rho whose Weyl tensor is of the purely magnetic type within a finite region of the spacetime. It is shown, for an observer with four-velocity, u(mag) say, that the metric's Weyltensor is purely magnetic within the finite region while it is purely electric, as read by another observer with four-velocity u(ele), elsewhere. Another observer, independent of the observers who measure the Weyl tensor to be purely electric or magnetic, interprets the perfect fluid to have an equation of state p = rho. The Petrov type of the metric, in this case, is I(M-infinity) by the Arianrhod-McIntosh classification and therefore there exists no conformally related metric which is vacuum. The vacuum seed metrics are derived for the perfect fluid solutions.
引用
收藏
页码:1355 / 1366
页数:12
相关论文
共 50 条
  • [31] Euler observers for the perfect fluid without vorticity
    Alcides Garat
    Zeitschrift für angewandte Mathematik und Physik, 2019, 70
  • [32] The Two Techniques for Generating Perfect Fluid Sphere
    Ngampitipan, T.
    Boonserm, P.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2019, 13 : 61 - 70
  • [33] SOLITONS AND GEOMETRICAL STRUCTURES IN A PERFECT FLUID SPACETIME
    Blaga, Adara M.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (01) : 41 - 53
  • [34] Inhomogeneous perfect fluid universe with electromagnetic field
    Pradhan, Anirudh
    Yadav, Vineet K.
    Yadav, Lallan
    Yadav, A. K.
    ASTROPHYSICS AND SPACE SCIENCE, 2007, 312 (3-4) : 267 - 273
  • [35] Inhomogeneous perfect fluid universe with electromagnetic field
    Anirudh Pradhan
    Vineet K. Yadav
    Lallan Yadav
    A. K. Yadav
    Astrophysics and Space Science, 2007, 312 : 267 - 273
  • [36] Gravitational perfect fluid collapse with cosmological constant
    Sharif, M.
    Ahmad, Zahid
    MODERN PHYSICS LETTERS A, 2007, 22 (20) : 1493 - 1502
  • [37] Anisotropic Cosmological Models with a Perfect Fluid and a Λ Term
    Bijan Saha
    Astrophysics and Space Science, 2006, 302 : 83 - 91
  • [38] QUANTUM RAINBOW COSMOLOGICAL MODEL WITH PERFECT FLUID
    Majumder, Barun
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2013, 22 (13):
  • [39] A regular perfect fluid model for dense stars
    Estevez-Delgado, Gabino
    Estevez-Delgado, Joaquin
    Mauricio Paulin-Fuentes, Jorge
    Montelongo Garcia, Nadiezhda
    Pineda Duran, Modesto
    MODERN PHYSICS LETTERS A, 2019, 34 (15)
  • [40] Euler observers for the perfect fluid without vorticity
    Garat, Alcides
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (04):