Some New Solutions for Shear-Free Fluid Spheres with Heat Flow

被引:0
|
作者
S. K. Maurya
Y. K. Gupta
机构
[1] Indian Institute of Technology Roorkee,Department of Mathematics
关键词
Fluid spheres; Heat flow; Exact solutions; Lie-group; Non-point transformations; General relativity;
D O I
暂无
中图分类号
学科分类号
摘要
In the present article, Lie group symmetries of the master equation describing the shear free non-static fluid spheres with heat flow (Msomi et al. in Gen. Relativ. Gravit. 43(6):1685–1696, 2011) are exploited to yield wider class of solutions. Further the master equation is transformed in to more convenient modified form, which is capable of yielding numerous solutions rather easily. Moreover two non-point transformations are suggested under which the master equation and its modified form are invariant, which are utilised to generate new solutions starting with the known seed solutions.
引用
收藏
页码:1075 / 1087
页数:12
相关论文
共 50 条
  • [1] Some New Solutions for Shear-Free Fluid Spheres with Heat Flow
    Maurya, S. K.
    Gupta, Y. K.
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2013, 52 (04) : 1075 - 1087
  • [2] Collapsing shear-free perfect fluid spheres with heat flow
    Ivanov, B. V.
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2012, 44 (07) : 1835 - 1855
  • [3] Collapsing shear-free perfect fluid spheres with heat flow
    B. V. Ivanov
    [J]. General Relativity and Gravitation, 2012, 44 : 1835 - 1855
  • [4] Collapsing shear-free radiating fluid spheres
    B. C. Tewari
    [J]. General Relativity and Gravitation, 2013, 45 : 1547 - 1558
  • [5] Collapsing shear-free radiating fluid spheres
    Tewari, B. C.
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2013, 45 (08) : 1547 - 1558
  • [6] EVOLVING SPHERES OF SHEAR-FREE ANISOTROPIC FLUID
    Ivanov, B. V.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2010, 25 (20): : 3975 - 3991
  • [7] NEW SOLUTIONS FOR HEAT-CONDUCTING FLUIDS WITH A NORMAL SHEAR-FREE FLOW
    SUSSMAN, RA
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (12) : 2675 - 2690
  • [8] New shear-free relativistic models with heat flow
    Msomi, A. M.
    Govinder, K. S.
    Maharaj, S. D.
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2011, 43 (06) : 1685 - 1696
  • [9] New shear-free relativistic models with heat flow
    A. M. Msomi
    K. S. Govinder
    S. D. Maharaj
    [J]. General Relativity and Gravitation, 2011, 43 : 1685 - 1696
  • [10] SHEAR-FREE COLLAPSE WITH HEAT-FLOW
    GLASS, EN
    [J]. PHYSICS LETTERS A, 1981, 86 (6-7) : 351 - 352