The Einstein evolution of a dust shell universe with spatial spherical symmetry is analyzed. The implicit and parametric solutions of Tolman–Bondi equations are proposed in order to show its agreement with the rectilinear solutions of Kepler’s problem. Finally, a complete systematization of Tolman–Bondi models is obtained through the classical Weierstrass approach.
Evolution of dust shells in Tolman-Bondi space-time according to the Weierstrass approach
BOCHICCHIO, IVANA;LASERRA, Ettore
2009
Abstract
The Einstein evolution of a dust shell universe with spatial spherical symmetry is analyzed. The implicit and parametric solutions of Tolman–Bondi equations are proposed in order to show its agreement with the rectilinear solutions of Kepler’s problem. Finally, a complete systematization of Tolman–Bondi models is obtained through the classical Weierstrass approach.File in questo prodotto:
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