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Big bang stability and isotropisation for the Einstein-scalar field equations in the ekpyrotic regime
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Big bang stability and isotropisation for the Einstein-scalar field equations in the ekpyrotic regime

Florian Beyer, David Garfinkle, James Isenberg and Todd A Oliynyk
ArXiv.org
Cornell University
31/03/2026
Handle:
https://hdl.handle.net/10523/50409

Abstract

Mathematics - Analysis of PDEs Physics - General Relativity and Quantum Cosmology
In this article, we establish the stability of FLRW solutions to the Einstein-scalar field equations for the potential parameter values s > sc and V₀ < 0. Such scalar field potentials are known in the literature as ekpyrotic. In particular, we prove that the FLRW solutions to the Einstein-scalar field equations are nonlinearly stable to the past and terminate at a quiescent, crushing AVTD big bang singularity. A distinguishing property of these perturbed spacetimes is that they isotropise towards the big bang.
url
https://doi.org/10.48550/arXiv.2604.00297View
Preprint (Author's original) Open All Rights Reserved

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