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We show that the Big Bang singularity of theFriedmann-Lemaitre-Robertson-Walker model does not raise major problems toGeneral Relativity. We prove a theorem showing that the Einstein equation canbe written in a non-singular form, which allows the extension of the spacetimebefore the Big Bang. The physical interpretation of the fields used isdiscussed. These results follow from our research on singular semi-Riemanniangeometry and singular General Relativity.

The Friedmann-Lemaitre-Robertson-Walker Big Bang singularities are well behaved