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Ricci scalar 
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#1
Jun1010, 05:06 PM

P: 143

i need examplees where the ricci scalar is constant but nonzero . Particulary i search examples of line element.
Pd: this is not a homework, 


#2
Jun1010, 06:13 PM

Sci Advisor
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P: 1,275

I'm not sure if you are referring to spaces or spacetimes. If spaces, then maximally symmetric spaces have the property that the Ricci scalar is constant everywhere. In 3 dimensions these are the 3sphere and the 3hyperboloid (and Euclidean space, but there R=0). If you are referring to spacetimes, then the Ricci scalar is proportional to the trace of the stress tensor (T), so you need to find some spacetime with constant T everywhere. I can't think of any examples of the top of my head.



#3
Jun1010, 06:17 PM

P: 836

Minowski space should have a constant Ricci scalar, right? But it is zero, from what I gather.



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