Evolution of dust shells in Tolman-Bondi space-time according to the Weierstrass approach

Details Evolution of dust shells in Tolman-Bondi space-time according to the Weierstrass approach Evolution of dust shells in Tolman-Bondi space-time according to the Weierstrass approach

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gregr..41.2813b&link_type=abstract

General Relativity and Gravitation, Volume 41, Issue 12, pp.2813-2837

Computer Science

General Relativity, Spherical Symmetry, Tolman–Bondi Evolution Equations

Scientific paper

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.

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