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

TL;DR

This paper demonstrates that the Big Bang singularity in FLRW models can be mathematically extended within General Relativity, challenging the notion that it signifies a fundamental breakdown of the theory.

Contribution

It introduces a theorem that reformulates Einstein's equations in a non-singular way, enabling the extension of spacetime beyond the Big Bang singularity.

Findings

Einstein equations can be expressed in a non-singular form.

Spacetime can be extended before the Big Bang.

Results are based on singular semi-Riemannian geometry.

Abstract

We show that the Big Bang singularity of the Friedmann-Lemaitre-Robertson-Walker model does not raise major problems to General Relativity. We prove a theorem showing that the Einstein equation can be written in a non-singular form, which allows the extension of the spacetime before the Big Bang. The physical interpretation of the fields used is discussed. These results follow from our research on singular semi-Riemannian geometry and singular General Relativity.