Re: invariance of negative signature of the metric?

On Mar 7, 10:02 am, iuval <cle...@xxxxxxxxxxxxxx> wrote:
Is there a theorem saying that if the metric starts out with a
negative signature on a spacelike surface (one or three eigenvalues
negative) that the field equations will preserve this negative
signature for all future and past?
What if there were 5 dimensions?
-Iuval

Think of it this way. If the signature were to vary from positive to
negative or vice versa, there must be an intermediate state having
signature zero. But that would be singular. So it's not allowed to
change.

.

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