Ricci scalar

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

    Pd: this is not a homework,
     
    Last edited by a moderator: Jun 10, 2010
  2. jcsd
  3. nicksauce

    nicksauce 1,275
    Science Advisor
    Homework Helper

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

    nicksauce 1,275
    Science Advisor
    Homework Helper

    Yup.
     
  6. George Jones

    George Jones 6,395
    Staff Emeritus
    Science Advisor
    Gold Member

    de Sitter spacetime and anti-de Sitter spacetime.
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook

Have something to add?