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

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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.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Salerno, via Ponte Don Melillo, 84084, Fisciano, SA, Italy

    Ivana Bochicchio & Ettore Laserra

  2. INFN sez di Napoli, Napoli, Italy

    Ivana Bochicchio & Ettore Laserra

Authors
  1. Ivana Bochicchio
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  2. Ettore Laserra
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Correspondence to Ivana Bochicchio.

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Bochicchio, I., Laserra, E. Evolution of dust shells in Tolman–Bondi space–time according to the Weierstrass approach. Gen Relativ Gravit 41, 2813–2837 (2009). https://doi.org/10.1007/s10714-009-0809-7

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  • DOI: https://doi.org/10.1007/s10714-009-0809-7

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