The Stability of Lorentzian Space-Time

Details The Stability of Lorentzian Space-Time The Stability of Lorentzian Space-Time

2006-02-09

arxiv.org/abs/gr-qc/0602034v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

It is stated in many text books that the any metric appearing in general relativity should be locally Lorentzian i.e. of the type $\eta_\mn = {\rm diag} (1,-1,-1,-1)$ 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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