The Linear Stability of Lorentzian Space-Time
نویسنده
چکیده
It is stated in many text books that the any metric appearing in general relativity should be locally Lorentzian i.e. of the type ημν = diag (1,−1,−1,−1) this is usually presented as an independent axiom of the theory, which can not be deduced from other assumptions. In this work we show that the above assertion is a consequence of a standard linear stability analysis of the Einstein equations and need not be assumed. PACS: 03.30.+p, 04.20.Cv keywords: General Relativity; Stability of Solutions;
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