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The Stability of Lorentzian Space-Time

Asher Yahalom
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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 $η_\mn = {\rm diag} (1,-1,-1,-1)$ 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 \eqs and need not be assumed.

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Asher Yahalom. 2006-02-09. The Stability of Lorentzian Space-Time. https://arxiv.org/abs/gr-qc/0602034

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