Ricci scalar

by alejandrito29
Tags: ricci, scalar
 P: 131 i need examplees where the ricci scalar is constant but nonzero . Particulary i search examples of line element. Pd: this is not a homework,
 Sci Advisor HW Helper P: 1,276 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.
 P: 836 Minowski space should have a constant Ricci scalar, right? But it is zero, from what I gather.