Integration in the GHP formalism. IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors
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Publication:1585711
DOI10.1023/A:1001915118339zbMath1006.83007MaRDI QIDQ1585711
Publication date: 6 March 2003
Published in: General Relativity and Gravitation (Search for Journal in Brave)
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)
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(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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