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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


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    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


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  6. Jun 10, 2010 #5

    George Jones

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    de Sitter spacetime and anti-de Sitter spacetime.
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