Corpus ID: 235293942

Spacetimes with continuous linear isotropies III: null rotations

  title={Spacetimes with continuous linear isotropies III: null rotations},
  author={Malcolm A. H. MacCallum},
It is shown that in many cases local null rotation invariance of the curvature and its first derivatives is sufficient to ensure there is an isometry group Gr with r ≥ 3 acting on (a neighbourhood of) the spacetime and containing a null rotation isotropy. Invariance of the second derivatives is additionally required to ensure this conclusion in Petrov type N Einstein spacetimes, spacetimes containing “pure radiation” (a Ricci tensor of Segre type [(11,2)]), and conformally flat spacetimes with… Expand

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