Gravitational instantons admit hyper-Kahler structure

DOI10.1088/0264-9381/16/1/013zbMath0954.53021arXivgr-qc/9805006OpenAlexW1650549087MaRDI QIDQ4699832

A. N. Aliev, Yavuz Nutku

Publication date: 18 November 1999

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9805006

zbMATH Keywords

hyper-Kähler structureNewman-Penrose formalismgravitational instanton

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Twistor methods in differential geometry (53C28) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (5)

HIDDEN SYMMMETRIES OF SOME BIANCHI A METRICS ⋮ Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field ⋮ Self-dual fields harbored by a Kerr-Taub-bolt instanton ⋮ A NEWMAN–PENROSE CALCULATOR FOR INSTANTON METRICS ⋮ Covariant symplectic structure of the complex Monge-Ampère equation

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