## Ricci scalar

i need examplees where the ricci scalar is constant but nonzero . Particulary i search examples of line element.

Pd: this is not a homework,

 PhysOrg.com science news on PhysOrg.com >> 'Whodunnit' of Irish potato famine solved>> The mammoth's lament: Study shows how cosmic impact sparked devastating climate change>> Curiosity Mars rover drills second rock target
 Recognitions: Homework Help Science Advisor 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 3-sphere and the 3-hyperboloid (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.
 Minowski space should have a constant Ricci scalar, right? But it is zero, from what I gather.

Recognitions:
Homework Help