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arXiv · 1505.00857

Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant

Todd A. Oliynyk
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Abstract

We introduce a new method for establishing the future non-linear stability of perturbations of FLRW solutions to the Einstein-Euler equations with a positive cosmological constant and a linear equation of state of the form $p = K ρ$. The method is based on a conformal transformation of the Einstein-Euler equations that compactifies the time domain and can handle the equation of state parameter values $0<K\leq 1/3$ in a uniform manner. It also determines the asymptotic behavior of the perturbed solutions in the far future.

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Todd A. Oliynyk. 2018-10-01. Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant. https://doi.org/10.1007/s00220-015-2551-1

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