Chapter 7

The geometrical meaning of time - the emergence of the concept of time in the general theory of relativity

Asher Yahalom

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 μv = 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.

Total Pages: 153-165 (13)

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