Gravitational collapse of spherically symmetric anisotropic fluid with homothetic self-similarity

被引:10
|
作者
Brandt, CFC
Da Silva, MFA
Da Rocha, JFV
Chan, R
机构
[1] Univ Estado Rio De Janeiro, Dept Fis Teor, BR-20550013 Rio De Janeiro, RJ, Brazil
[2] Oberv Nacl, Coordenadoria Astron & Astrofis, BR-20921400 Rio De Janeiro, RJ, Brazil
来源
关键词
gravitational collapse; self-similarity; anisotropic fluid;
D O I
10.1142/S0218271803003657
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study spacetimes of spherically symmetric anisotropic fluid with homothetic self-similarity. We find a class of solutions to the Einstein field equations by assuming that the tangential pressure of the fluid is proportional to its radial one and that the fluid moves along time-like geodesics. The energy conditions, and geometrical and physical properties of these solutions are studied and found that some of them represent gravitational collapse of an anisotropic fluid.
引用
收藏
页码:1315 / 1332
页数:18
相关论文
共 50 条
  • [41] Initial data and the end state of spherically symmetric gravitational collapse
    Joshi, PS
    Dwivedi, IH
    CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (01) : 41 - 59
  • [42] Gravitational collapse of spherically symmetric stars in noncommutative general relativity
    Wen Sun
    Ding Wang
    Naqing Xie
    R. B. Zhang
    Xiao Zhang
    The European Physical Journal C, 2010, 69 : 271 - 279
  • [43] Gravitational collapse and topology change in spherically symmetric dynamical systems
    Csizmadia, Peter
    Racz, Istvan
    CLASSICAL AND QUANTUM GRAVITY, 2010, 27 (01)
  • [44] Gravitational collapse of spherically symmetric stars in noncommutative general relativity
    Sun, Wen
    Wang, Ding
    Xie, Naqing
    Zhang, R. B.
    Zhang, Xiao
    EUROPEAN PHYSICAL JOURNAL C, 2010, 69 (1-2): : 271 - 279
  • [45] Dimension dependence of the critical exponent in spherically symmetric gravitational collapse
    Bland, J
    Preston, B
    Becker, M
    Kunstatter, G
    Husain, V
    CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (24) : 5355 - 5364
  • [46] Final fate of the spherically symmetric collapse of a perfect fluid
    Harada, T
    PHYSICAL REVIEW D, 1998, 58 (10):
  • [47] Continuous self-similarity breaking in critical collapse
    Frolov, AV
    PHYSICAL REVIEW D, 2000, 61 (08)
  • [48] Collapse and self-similarity of a turbulent jet in a pycnocline
    Druzhinin, OA
    IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS, 2003, 39 (05) : 629 - 641
  • [49] On the geometrical and physical properties of spherically symmetric non-static space-times: Self-similarity
    Gad, RM
    Hassan, MM
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2003, 118 (08): : 759 - 765
  • [50] Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes
    Lasky, P. D.
    Lun, A. W. C.
    PHYSICAL REVIEW D, 2007, 75 (10):