Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant
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 . 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≤ 1/3 in a uniform manner. It also determines the asymptotic behavior of the perturbed solutions in the far future.
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