- #1

timmdeeg

Gold Member

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https://en.wikipedia.org/wiki/De_Sitter–Schwarzschild_metric

2 solutions:

##f(r)=1-2M/r##

##f(r)=1-\Lambda*r^2##

Equating yields ##r=(2M/\Lambda)^{1/3}##

Is this the wanted static r-coordinate? Heuristically it seems to make sense, r increases with increasing ##M## and decreases with increasing ##\Lambda##.

But is this correct? Please advise.