The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant
作者： Igor Rodnianski , Jared Speck
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摘要: In this article, we study small perturbations of the family Friedmann-Lema\^itre-Robertson-Walker cosmological background solutions to Euler-Einstein system with a positive constant in 1 + 3 dimensions. The describe an initially uniform quiet fluid energy density evolving spacetime undergoing accelerated expansion. We show that under equation state p = c_s^2*(energy density), 0 < c_s^2 1/3, are globally future asymptotically stable irrotational perturbations. particular, prove perturbed spacetimes, which have topological structure [0,infinity) x T^3, causally geodesically complete.
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