Transverse frames for Petrov type I spacetimes: a general algebraic procedure

Virginia Re*, Marco Bruni, David R. Matravers, Frances T. White

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We develop an algebraic procedure to rotate a general Newman-Penrose tetradin a Petrov type I spacetime into a frame with Weyl scalars Ψ 11 and Ψ3 equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov type I spacetime, setting Ψ1 and Ψ3 to zero makes apparent the superposition of a Coulomb-type effect Ψ2 with transverse degrees of freedom Ψ0 and Ψ4.

Original languageEnglish
Pages (from-to)1351-1363
Number of pages13
JournalGeneral Relativity and Gravitation
Volume35
Issue number8
DOIs
Publication statusPublished - 1 Aug 2003

Keywords

  • Newman-Penrose formalism
  • Petrov types
  • Weyl scalars
  • UKRI
  • EPSRC

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