Ricci-flat spacetimes admitting higher rank Killing tensors

Marco Cariglia, Anton Galajinsky

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Ricci-flat spacetimes of signature (2, q) with q = 2, 3, 4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift applied to Drach's two-dimensional integrable systems which is followed by the oxidation with respect to free parameters. In four dimensions, some of our solutions are anti-self-dual.

Original languageEnglish
Pages (from-to)320-324
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publication statusPublished - 1 May 2015


  • Drach systems
  • Higher rank Killing tensors
  • Ricci-flat spacetimes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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