Stability of a Robertson-Walker universe against stochastic perturbations |
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| Institution: | 1. Department of Mathematics, Nanchang University, Nanchang 330031, PR China;2. School of Statistics, University of International Business and Economics, Beijing\n100029, PR China |
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| Abstract: | The Einstein-Langevin equations for a Robertson-Walker universe in which a small stochastic perturbation is introduced in the deterministic equations of motion for the radius of the universe are analysed. We solve the associated nonlinear Fokker-Planck equation in the small noise limit using the Ω expansion and find that the cosmological constant plays an essential role in the long time stability of the model. |
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