GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism

DOI10.1023/A:1002753318177zbMath0986.83028OpenAlexW1556407042MaRDI QIDQ5943138

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Publication date: 2 June 2002

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

Full work available at URL: https://doi.org/10.1023/a:1002753318177

zbMATH Keywords

algebraic computingGHP-formalism

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items

Obtaining a class of type \(O\) pure radiation metrics with a negative cosmological constant, using invariant operators ⋮ GHP ⋮ The GHP II package with applications

Uses Software

• Maple
• NP
• ORTHOFRAME

Cites Work

• Integration in the GHP formalism. II: An operator approach for spacetimes with Killing vectors, with applications to twisting type \(N\)-spaces
• The automatic conversion of spinor equations to dyad form in MAPLE
• Integration methods within existing tetrad formalisms in general relativity
• The \(GHP\) conformal Killing equations and their integrability conditions, with application to twisting type \(N\) vacuum spacetimes
• Integration in the GHP formalism. III: Finding conformally flat radiation metrics as an example of an `optimal situation'
• Integration in the GHP formalism. IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors
• NP: A maple package for performing calculations in the Newman-Penrose formalism
• Integration in the GHP formalism. I: A coordinate approach with applications to twisting type \(N\) spaces
• ORTHOFRAME: a MAPLE package for performing calculations in the orthonormal tetrad formalism
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• A space-time calculus based on pairs of null directions