Nonsingular Collapse of Spherically Symmetric Charged Dust

Physics

Scientific paper

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Cosmology, Einstein-Maxwell Equations, Singularities

Scientific paper

In spherically symmetric charged dust, two kinds of singularity may be present: the Big Bang/Crunch (BB/BC), and shell crossings. The BB/BC is avoided when the charge density ρe and the mass-energy density γ obey <=ft| {ρ e} ; | < √ {G} \varepsilon/c2. However, shell crossings then usually appear. This note shows how to avoid also the shell crossings for one cycle of collapse/expansion, and gives an example of a configuration that really avoids it. The configuration goes through the tunnel between the singularities in the maximally extended Reissner - Nordström spacetime.

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