Inhomogeneous cosmologies: New exact solutions and their evolution
作者： D. A. Szafron
DOI: 10.1063/1.523468
关键词: Einstein field equations 、 Mathematical physics 、 Solutions of the Einstein field equations 、 Fluid mechanics 、 Riemann curvature tensor 、 Isotropy 、 Perfect fluid 、 Physics 、 Riemannian geometry 、 Homogeneity (physics) 、 Statistical and Nonlinear Physics
摘要: An algorithm is presented for determining all solutions of the Einstein field equations representing a perfect fluid with metric form ds2=dt2−e2αdz2 −e2β(dx2+dy2) and flow vector u=∂/∂t. The entire class then invariantly characterized. These new generalize Szekeres’ inhomogeneous cosmological models containing dust. A subclass these studied in detail it interesting that some approach isotropy but not homogeneity large times.
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sci-hub.se 参考文章(7)
E. Kamke, Differentialgleichungen : Lösungsmethoden und Lösungen Published in <b>1959</b> in New York NY) by Chelsea. ,(1977) , 10.1007/978-3-663-05925-7
W. B. Bonnor, N. Tomimura, Evolution of Szekeres's Cosmological Models Monthly Notices of the Royal Astronomical Society. ,vol. 175, pp. 85- 93 ,(1976) , 10.1093/MNRAS/175.1.85
George C. McVittie, General relativity and cosmology ,(1956)
J. Wainwright, Characterization of the Szekeres inhomogeneous cosmologies as algebraically special spacetimes Journal of Mathematical Physics. ,vol. 18, pp. 672- 675 ,(1977) , 10.1063/1.523325
P. Szekeres, A class of inhomogeneous cosmological models Communications in Mathematical Physics. ,vol. 41, pp. 55- 64 ,(1975) , 10.1007/BF01608547
D. A. Szafron, J. Wainwright, A class of inhomogeneous perfect fluid cosmologies Journal of Mathematical Physics. ,vol. 18, pp. 1668- 1672 ,(1977) , 10.1063/1.523455
Ezra Newman, Roger Penrose, An Approach to Gravitational Radiation by a Method of Spin Coefficients Journal of Mathematical Physics. ,vol. 3, pp. 566- 578 ,(1962) , 10.1063/1.1724257