Nonlinear approximation scheme for the Einstein evolution equations

Physics

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Scientific paper

We describe a new method which permits us to obtain an algebraical solution to the Einstein evolution equations. This can be achieved by transforming the metric in such a way that the finite set of nonlinear Einstein equations becomes an infinite one containing only linear relations between the transformed metric functions. The main advantage of this construction method is that it is conceptually simple, making it easily adaptable to different kinds of problems and formalisms.

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