Self-gravitating spheres of anisotropic fluid in geodesic flow
作者： B. V. IVANOV
DOI: 10.1142/S0218271811018858
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摘要: The fluid models mentioned in the title are classified. All characteristics of expressed through a master potential, satisfying an ordinary second order differential equation. Different constraints imposed on this core relations, finding new solutions and deriving classical results for perfect fluids dust as particular cases. Many uncharged charged anisotropic solutions, all conformally flat some uniform density found. A number with linear equation among two pressures derived, including case vanishing tangential pressure.
arxiv.org
128.84.21.199参考文章(29)
Sanjay Jhingan, Sérgio M. C. V. Gonçalves, Singularities in gravitational collapse with radial pressure General Relativity and Gravitation. ,vol. 33, pp. 2125- 2149 ,(2001) , 10.1023/A:1015285531320
Eduard Herlt, Spherically symmetric nonstatic perfect fluid solutions with shear General Relativity and Gravitation. ,vol. 28, pp. 919- 934 ,(1996) , 10.1007/BF02113089
A Ori, The general solution for spherical charged dust Classical and Quantum Gravity. ,vol. 7, pp. 985- 998 ,(1990) , 10.1088/0264-9381/7/6/008
R. M. Misra, D. C. Srivastava, Charged dust spheres in general relativity Physical Review D. ,vol. 9, pp. 844- 849 ,(1974) , 10.1103/PHYSREVD.9.844
N. Van den Bergh, P. Wils, Exact solutions for nonstatic perfect fluid spheres with shear and an equation of state General Relativity and Gravitation. ,vol. 17, pp. 223- 243 ,(1985) , 10.1007/BF00760245
U K De, Non-static spherically symmetric charged dust distribution in general relativity Journal of Physics A: General Physics. ,vol. 1, pp. 645- 649 ,(1968) , 10.1088/0305-4470/1/6/302
D. A. Szafron, Inhomogeneous cosmologies: New exact solutions and their evolution Journal of Mathematical Physics. ,vol. 18, pp. 1673- 1677 ,(1977) , 10.1063/1.523468
Luis Herrera, Nilton O Santos, Local anisotropy in self-gravitating systems Physics Reports. ,vol. 286, pp. 53- 130 ,(1997) , 10.1016/S0370-1573(96)00042-7
J. Ospino, J. Martin, L. Herrera, Anisotropic geodesic fluid spheres in general relativity Journal of Mathematical Physics. ,vol. 43, pp. 4889- 4897 ,(2002) , 10.1063/1.1505985
B. V. Ivanov, Static charged perfect fluid spheres in general relativity Physical Review D. ,vol. 65, pp. 104001- ,(2002) , 10.1103/PHYSREVD.65.104001