(Conformal) Killing vectors in the Newman-Penrose formalism

DOI10.1023/A:1016361729933zbMath1006.83028arXivgr-qc/0111040MaRDI QIDQ1612713

S. Brian Edgar, Garry Ludwig

Publication date: 26 August 2002

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0111040

zbMATH Keywords

Newman-Penrose formalismconformal Killing vectorsPetrov typestetrad system

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (2)

Love symmetry ⋮ Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism

Cites Work

• Extended Geroch-Held-Penrose formalism
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• On determining the isometry group of a Riemannian space
• Simply-transitive homothety groups
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• Conformal vector fields and conformal-type collineations in space-times
• Integration in the GHP formalism. IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• Killing tensors from conformal Killing vectors
• A space-time calculus based on pairs of null directions
• Some remarks on the symmetries of the Reissner-Nordström metric
• A spacetime calculus based on a single null direction
• Spacetime symmetries for the Kerr metric
• Some remarks on the symmetries of the Kerr spacetime
• A generalized Lie derivative and homothetic or Killing vectors in the Geroch-Held-Penrose formalism

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