Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Ricci scalar

  1. Jun 10, 2010 #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. Jun 10, 2010 #2


    User Avatar
    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. Jun 10, 2010 #3
    Minowski space should have a constant Ricci scalar, right? But it is zero, from what I gather.
  5. Jun 10, 2010 #4


    User Avatar
    Science Advisor
    Homework Helper

  6. Jun 10, 2010 #5

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    de Sitter spacetime and anti-de Sitter spacetime.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Ricci scalar
  1. Ricci scalar (Replies: 2)

  2. Ricci Scalar Problem (Replies: 3)

  3. Ricci scalar (Replies: 1)