Integration in the GHP formalism. IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors

DOI10.1023/A:1001915118339zbMath1006.83007MaRDI QIDQ1585711

Garry Ludwig, S. Brian Edgar

Publication date: 6 March 2003

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

zbMATH Keywords

GHP Lie derivativeintrinsic GHP tetrads

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items

(Conformal) Killing vectors in the Newman-Penrose formalism ⋮ Invariant classification and the generalised invariant formalism: Conformally flat pure radiation metrics ⋮ Obtaining a class of type \(O\) pure radiation metrics with a negative cosmological constant, using invariant operators ⋮ Love symmetry ⋮ Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism ⋮ Type 0 pure radiation metrics with a cosmological constant ⋮ Teukolsky formalism for nonlinear Kerr perturbations ⋮ GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism ⋮ Killing symmetries as Hamiltonian constraints ⋮ New metric reconstruction scheme for gravitational self-force calculations

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