Anisotropic spheres with uniform energy density in general relativity
作者： S. D. Maharaj , R. Maartens
DOI: 10.1007/BF00769863
关键词:
摘要: An ansatz is developed to obtain interior solutions of the Einstein field equations for anisotropic spheres. This procedure necessitates a choice energy-density and radial pressure. A class uniform source presented. These spheres match smoothly Schwarzschild exterior are well-behaved in sphere.
harvard.edu
springer.com
sci-hub.se 参考文章(8)
J. Ponce de León, General relativistic electromagnetic mass models of neutral spherically symmetric systems General Relativity and Gravitation. ,vol. 19, pp. 797- 807 ,(1987) , 10.1007/BF00768215
S. D. Maharaj, R. Maartens, Collision‐free gases in static space‐times Journal of Mathematical Physics. ,vol. 27, pp. 2514- 2519 ,(1986) , 10.1063/1.527318
J. Ponce de León, New analytical models for anisotropic spheres in general relativity Journal of Mathematical Physics. ,vol. 28, pp. 1114- 1117 ,(1987) , 10.1063/1.527557
L. Herrera, J. Ponce de León, Isotropic and anisotropic charged spheres admitting a one-parameter group of conformal motions Journal of Mathematical Physics. ,vol. 26, pp. 2302- 2307 ,(1985) , 10.1063/1.526813
M. Cosenza, L. Herrera, M. Esculpi, L. Witten, Some models of anisotropic spheres in general relativity Journal of Mathematical Physics. ,vol. 22, pp. 118- 125 ,(1981) , 10.1063/1.524742
Richard L. Bowers, E. P. T. Liang, Anisotropic spheres in general relativity The Astrophysical Journal. ,vol. 188, pp. 657- ,(1974) , 10.1086/152760
Hans Stephani, Jeffrey M. Bowen, General Relativity: An Introduction to the Theory of the Gravitational Field ,(1982)
I. M. Ryzhik, I. S. Gradshteyn, Table of integrals, series and products New York: Academic Press. ,(1980)