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Geometrical optics analysis of the short-time stability properties of the Einstein evolution equations

Geometrical optics analysis of the short-time stability properties of the Einstein evolution equations

Many alternative formulations of Einstein's evolution have lately been examined in an effort to discover one that yields slow growth of constraint-violating errors. In this paper, rather than directly search for well-behaved formulations, we instead develop analytic tools to discover which formulations are particularly ill behaved. Specifically, we examine the …