On Spacetimes with Constant Scalar Invariants

  title={On Spacetimes with Constant Scalar Invariants},
  author={Nicos Pelavas},
We study Lorentzian spacetimes for which all scalar invariants constructed from the Riemann tensor and its covariant derivatives are constant (CSI spacetimes). We obtain a number of general results in arbitrary dimensions. We study and construct warped product CSI spacetimes and higher-dimensional Kundt CSI spacetimes. We show how these spacetimes can be constructed from locally homogeneous spaces and V SI spacetimes. The results suggest a number of conjectures. In particular, it is plausible… CONTINUE READING