The Non-relativistic Limit of the Euler Nordström System with Cosmological Constant
نویسنده
چکیده
In this paper the author studies the singular limit c → ∞ of the family of EulerNordström systems indexed by the parameters κ and c (ENκ), where κ 2 > 0 is the cosmological constant and c is the speed of light. Using Christodoulou’s techniques to generate energy currents, the author develops Sobolev estimates that show that for initial data belonging to an appropriate Sobolev space, as c tends to infinity, the solutions to the ENκ system converge uniformly on a spacetime slab [0, T ] × R3 to the solution of the Euler-Poisson system with the cosmological constant κ2.
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تاریخ انتشار 2008