The Stability of Lorentzian Space-Time
Abstract
It is stated in many text books that the any metric appearing in general relativity should be locally Lorentzian i.e. of the type η = 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 stability analysis of the Einstein and need not be assumed.
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