Integration in the GHP formalism. II: An operator approach for spacetimes with Killing vectors, with applications to twisting type \(N\)-spaces (Q674904)
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| English | Integration in the GHP formalism. II: An operator approach for spacetimes with Killing vectors, with applications to twisting type \(N\)-spaces |
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Integration in the GHP formalism. II: An operator approach for spacetimes with Killing vectors, with applications to twisting type \(N\)-spaces (English)
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6 March 1997
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[For part I, see ibid. 28, No. 6, 707-733 (1996; Zbl 0857.53060).] The vacuum type \(N\) spaces admitting a Killing vector and a homothetic Killing vector are investigated. The problem is reduced to a pair of ordinary differential operator ``master equations'', making use of a new zero-weighted GHP operator. These master equations can be reduced to one real third-order operator differential equation for a complex function of a real variable.
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Geroch-Held-Penrose formalism
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vacuum type \(N\) spaces
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